for Journals by Title or ISSN
for Articles by Keywords
help
  Subjects -> BUSINESS AND ECONOMICS (Total: 3075 journals)
    - ACCOUNTING (89 journals)
    - BANKING AND FINANCE (261 journals)
    - BUSINESS AND ECONOMICS (1154 journals)
    - CONSUMER EDUCATION AND PROTECTION (24 journals)
    - COOPERATIVES (4 journals)
    - ECONOMIC SCIENCES: GENERAL (158 journals)
    - ECONOMIC SYSTEMS, THEORIES AND HISTORY (167 journals)
    - FASHION AND CONSUMER TRENDS (13 journals)
    - HUMAN RESOURCES (94 journals)
    - INSURANCE (23 journals)
    - INTERNATIONAL COMMERCE (127 journals)
    - INTERNATIONAL DEVELOPMENT AND AID (81 journals)
    - INVESTMENTS (25 journals)
    - LABOR AND INDUSTRIAL RELATIONS (43 journals)
    - MACROECONOMICS (13 journals)
    - MANAGEMENT (517 journals)
    - MARKETING AND PURCHASING (86 journals)
    - MICROECONOMICS (24 journals)
    - PRODUCTION OF GOODS AND SERVICES (138 journals)
    - PUBLIC FINANCE, TAXATION (32 journals)
    - TRADE AND INDUSTRIAL DIRECTORIES (2 journals)

BUSINESS AND ECONOMICS (1154 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 1566 Journals sorted alphabetically
4OR: A Quarterly Journal of Operations Research     Hybrid Journal   (Followers: 9)
Abacus     Hybrid Journal   (Followers: 11)
Accounting Forum     Hybrid Journal   (Followers: 22)
Acta Amazonica     Open Access   (Followers: 3)
Acta Commercii     Open Access   (Followers: 2)
Acta Oeconomica     Full-text available via subscription   (Followers: 2)
Acta Scientiarum. Human and Social Sciences     Open Access   (Followers: 4)
Acta Universitatis Danubius. Œconomica     Open Access  
Acta Universitatis Nicolai Copernici Zarządzanie     Open Access   (Followers: 3)
AD-minister     Open Access   (Followers: 2)
ADR Bulletin     Open Access   (Followers: 5)
Advances in Developing Human Resources     Hybrid Journal   (Followers: 21)
Advances in Economics and Business     Open Access   (Followers: 12)
AfricaGrowth Agenda     Full-text available via subscription   (Followers: 1)
African Affairs     Hybrid Journal   (Followers: 57)
African Development Review     Hybrid Journal   (Followers: 34)
African Journal of Business and Economic Research     Full-text available via subscription   (Followers: 1)
African Journal of Business Ethics     Open Access   (Followers: 7)
African Review of Economics and Finance     Open Access   (Followers: 3)
Afro-Asian Journal of Finance and Accounting     Hybrid Journal   (Followers: 6)
Afyon Kocatepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi     Open Access   (Followers: 3)
Agronomy     Open Access   (Followers: 11)
Akademika : Journal of Southeast Asia Social Sciences and Humanities     Open Access   (Followers: 4)
Alphanumeric Journal : The Journal of Operations Research, Statistics, Econometrics and Management Information Systems     Open Access   (Followers: 4)
American Economic Journal : Applied Economics     Full-text available via subscription   (Followers: 125)
American Economic Journal : Economic Policy     Full-text available via subscription   (Followers: 94)
American Journal of Business     Hybrid Journal   (Followers: 14)
American Journal of Business and Management     Open Access   (Followers: 50)
American Journal of Business Education     Open Access   (Followers: 10)
American Journal of Economics and Business Administration     Open Access   (Followers: 22)
American Journal of Economics and Sociology     Hybrid Journal   (Followers: 27)
American Journal of Evaluation     Hybrid Journal   (Followers: 12)
American Journal of Finance and Accounting     Hybrid Journal   (Followers: 16)
American Journal of Health Economics     Full-text available via subscription   (Followers: 12)
American Journal of Industrial and Business Management     Open Access   (Followers: 23)
American Journal of Medical Quality     Hybrid Journal   (Followers: 7)
American Law and Economics Review     Hybrid Journal   (Followers: 26)
ANALES de la Universidad Central del Ecuador     Open Access   (Followers: 1)
Annales de l'Institut Henri Poincare (C) Non Linear Analysis     Full-text available via subscription   (Followers: 1)
Annals in Social Responsibility     Full-text available via subscription  
Annals of Finance     Hybrid Journal   (Followers: 26)
Annals of Operations Research     Hybrid Journal   (Followers: 8)
Annual Review of Economics     Full-text available via subscription   (Followers: 29)
Applied Developmental Science     Hybrid Journal   (Followers: 4)
Applied Economics     Hybrid Journal   (Followers: 44)
Applied Economics Letters     Hybrid Journal   (Followers: 28)
Applied Economics Quarterly     Full-text available via subscription   (Followers: 10)
Applied Financial Economics     Hybrid Journal   (Followers: 21)
Applied Mathematical Finance     Hybrid Journal   (Followers: 6)
Applied Stochastic Models in Business and Industry     Hybrid Journal   (Followers: 5)
Apuntes Universitarios     Open Access   (Followers: 1)
Arab Economic and Business Journal     Open Access   (Followers: 3)
Archives of Business Research     Open Access   (Followers: 4)
Arena Journal     Full-text available via subscription   (Followers: 1)
Argomenti. Rivista di economia, cultura e ricerca sociale     Open Access   (Followers: 2)
ASEAN Economic Bulletin     Full-text available via subscription   (Followers: 5)
Asia Pacific Business Review     Hybrid Journal   (Followers: 5)
Asia Pacific Journal of Human Resources     Hybrid Journal   (Followers: 310)
Asia Pacific Viewpoint     Hybrid Journal  
Asia-Pacific Journal of Business Administration     Hybrid Journal   (Followers: 3)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Business Review     Open Access   (Followers: 2)
Asian Case Research Journal     Hybrid Journal   (Followers: 1)
Asian Development Review     Open Access   (Followers: 14)
Asian Economic Journal     Hybrid Journal   (Followers: 6)
Asian Economic Papers     Hybrid Journal   (Followers: 7)
Asian Economic Policy Review     Hybrid Journal   (Followers: 3)
Asian Journal of Accounting and Governance     Open Access   (Followers: 3)
Asian Journal of Business Ethics     Hybrid Journal   (Followers: 7)
Asian Journal of Social Sciences and Management Studies     Open Access   (Followers: 6)
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 9)
Asian-pacific Economic Literature     Hybrid Journal   (Followers: 5)
AStA Wirtschafts- und Sozialstatistisches Archiv     Hybrid Journal   (Followers: 5)
Atlantic Economic Journal     Hybrid Journal   (Followers: 14)
Australasian Journal of Regional Studies, The     Full-text available via subscription   (Followers: 2)
Australian Cottongrower, The     Full-text available via subscription   (Followers: 1)
Australian Economic Papers     Hybrid Journal   (Followers: 16)
Australian Economic Review     Hybrid Journal   (Followers: 7)
Australian Journal of Maritime and Ocean Affairs     Hybrid Journal   (Followers: 11)
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 1)
Baltic Journal of Real Estate Economics and Construction Management     Open Access   (Followers: 1)
Banks in Insurance Report     Hybrid Journal   (Followers: 1)
BBR - Brazilian Business Review     Open Access   (Followers: 5)
Benchmarking : An International Journal     Hybrid Journal   (Followers: 11)
BER : Consumer Confidence Survey     Full-text available via subscription   (Followers: 4)
BER : Economic Prospects : An Executive Summary     Full-text available via subscription  
BER : Economic Prospects : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Intermediate Goods Industries Survey     Full-text available via subscription   (Followers: 1)
BER : Manufacturing Survey : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Motor Trade Survey     Full-text available via subscription   (Followers: 1)
BER : Retail Sector Survey     Full-text available via subscription   (Followers: 2)
BER : Retail Survey : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Survey of Business Conditions in Building and Construction : An Executive Summary     Full-text available via subscription   (Followers: 4)
BER : Survey of Business Conditions in Manufacturing : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Survey of Business Conditions in Retail : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Trends : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Wholesale Sector Survey     Full-text available via subscription   (Followers: 1)
Berkeley Business Law Journal     Free   (Followers: 11)
Bio-based and Applied Economics     Open Access   (Followers: 1)
Biodegradation     Hybrid Journal   (Followers: 1)
Biology Direct     Open Access   (Followers: 7)
Black Enterprise     Full-text available via subscription  
Board & Administrator for Administrators only     Hybrid Journal  
Border Crossing : Transnational Working Papers     Open Access   (Followers: 2)
Briefings in Real Estate Finance     Hybrid Journal   (Followers: 5)
British Journal of Industrial Relations     Hybrid Journal   (Followers: 30)
Brookings Papers on Economic Activity     Open Access   (Followers: 46)
Brookings Trade Forum     Full-text available via subscription   (Followers: 3)
BRQ Business Research Quarterly     Open Access   (Followers: 2)
Building Sustainable Legacies : The New Frontier Of Societal Value Co-Creation     Full-text available via subscription   (Followers: 1)
Bulletin of Economic Research     Hybrid Journal   (Followers: 16)
Bulletin of Geography. Socio-economic Series     Open Access   (Followers: 6)
Bulletin of Indonesian Economic Studies     Hybrid Journal   (Followers: 3)
Bulletin of the Dnipropetrovsk University. Series : Management of Innovations     Open Access   (Followers: 1)
Business & Entrepreneurship Journal     Open Access   (Followers: 15)
Business & Information Systems Engineering     Hybrid Journal   (Followers: 5)
Business & Society     Hybrid Journal   (Followers: 9)
Business : Theory and Practice / Verslas : Teorija ir Praktika     Open Access   (Followers: 1)
Business and Economic Horizons     Open Access   (Followers: 2)
Business and Economic Research     Open Access   (Followers: 5)
Business and Management Horizons     Open Access   (Followers: 11)
Business and Management Research     Open Access   (Followers: 16)
Business and Management Studies     Open Access   (Followers: 7)
Business and Politics     Hybrid Journal   (Followers: 6)
Business and Professional Communication Quarterly     Hybrid Journal   (Followers: 7)
Business and Society Review     Hybrid Journal   (Followers: 5)
Business Economics     Hybrid Journal   (Followers: 6)
Business Ethics: A European Review     Hybrid Journal   (Followers: 16)
Business Horizons     Hybrid Journal   (Followers: 9)
Business Information Review     Hybrid Journal   (Followers: 13)
Business Management and Strategy     Open Access   (Followers: 39)
Business Research     Hybrid Journal   (Followers: 1)
Business Strategy and the Environment     Hybrid Journal   (Followers: 11)
Business Strategy Review     Hybrid Journal   (Followers: 6)
Business Strategy Series     Hybrid Journal   (Followers: 5)
Business Systems & Economics     Open Access   (Followers: 1)
Business Systems Research Journal     Open Access   (Followers: 4)
Business, Management and Education     Open Access   (Followers: 16)
Business, Peace and Sustainable Development     Full-text available via subscription   (Followers: 3)
Bustan     Hybrid Journal   (Followers: 1)
Cadernos EBAPE.BR     Open Access   (Followers: 1)
Cambridge Journal of Economics     Hybrid Journal   (Followers: 55)
Cambridge Journal of Regions, Economy and Society     Hybrid Journal   (Followers: 9)
Canadian Journal of Administrative Sciences / Revue Canadienne des Sciences de l Administration     Hybrid Journal   (Followers: 1)
Canadian Journal of Economics/Revue Canadienne d`Economique     Hybrid Journal   (Followers: 25)
Canadian journal of nonprofit and social economy research     Open Access   (Followers: 2)
Capitalism and Society     Hybrid Journal   (Followers: 2)
Capitalism Nature Socialism     Hybrid Journal   (Followers: 11)
Case Studies in Business and Management     Open Access   (Followers: 8)
CBU International Conference Proceedings     Open Access   (Followers: 1)
Central European Business Review     Open Access   (Followers: 1)
Central European Journal of Operations Research     Hybrid Journal   (Followers: 5)
Central European Journal of Public Policy     Open Access   (Followers: 1)
CESifo Economic Studies     Hybrid Journal   (Followers: 15)
Chain Reaction     Full-text available via subscription   (Followers: 1)
Challenge     Full-text available via subscription   (Followers: 4)
China & World Economy     Hybrid Journal   (Followers: 15)
China : An International Journal     Full-text available via subscription   (Followers: 17)
China Economic Journal: The Official Journal of the China Center for Economic Research (CCER) at Peking University     Hybrid Journal   (Followers: 10)
China Economic Review     Hybrid Journal   (Followers: 10)
China Finance Review International     Hybrid Journal   (Followers: 5)
China Nonprofit Review     Hybrid Journal   (Followers: 3)
China perspectives     Open Access   (Followers: 11)
Chinese Economy     Full-text available via subscription  
Ciência & Saúde Coletiva     Open Access   (Followers: 2)
CLIO América     Open Access   (Followers: 1)
Cliometrica     Hybrid Journal   (Followers: 1)
COEPTUM     Open Access  
Community Development Journal     Hybrid Journal   (Followers: 23)
Compensation & Benefits Review     Hybrid Journal   (Followers: 6)
Competition & Change     Hybrid Journal   (Followers: 10)
Competitive Intelligence Review     Hybrid Journal   (Followers: 2)
Competitiveness Review : An International Business Journal incorporating Journal of Global Competitiveness     Hybrid Journal   (Followers: 5)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computer Law & Security Report     Hybrid Journal   (Followers: 15)
Computers & Operations Research     Hybrid Journal   (Followers: 10)
Construction Innovation: Information, Process, Management     Hybrid Journal   (Followers: 14)
Contemporary Wales     Full-text available via subscription   (Followers: 3)
Contextus - Revista Contemporânea de Economia e Gestão     Open Access   (Followers: 1)
Contributions to Political Economy     Hybrid Journal   (Followers: 6)
Corporate Communications An International Journal     Hybrid Journal   (Followers: 4)
Corporate Philanthropy Report     Hybrid Journal   (Followers: 2)
Corporate Reputation Review     Hybrid Journal   (Followers: 5)
Creative and Knowledge Society     Open Access   (Followers: 10)
Creative Industries Journal     Hybrid Journal   (Followers: 8)
CRIS - Bulletin of the Centre for Research and Interdisciplinary Study     Open Access   (Followers: 1)
Crossing the Border : International Journal of Interdisciplinary Studies     Open Access   (Followers: 4)
Cuadernos de Administración (Universidad del Valle)     Open Access   (Followers: 1)
Cuadernos de Economía     Open Access   (Followers: 1)
Cuadernos de Economia - Latin American Journal of Economics     Open Access   (Followers: 1)
Cuadernos de Estudios Empresariales     Open Access   (Followers: 1)
Current Opinion in Creativity, Innovation and Entrepreneurship     Open Access   (Followers: 8)
De Economist     Hybrid Journal   (Followers: 12)
Decision Analysis     Full-text available via subscription   (Followers: 8)
Decision Sciences     Hybrid Journal   (Followers: 15)
Decision Support Systems     Hybrid Journal   (Followers: 15)
Defence and Peace Economics     Hybrid Journal   (Followers: 16)
der markt     Hybrid Journal   (Followers: 1)
Desenvolvimento em Questão     Open Access  

        1 2 3 4 5 6 | Last

Journal Cover Annales de l'Institut Henri Poincare (C) Non Linear Analysis
  [SJR: 2.558]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0294-1449
   Published by Elsevier Homepage  [3041 journals]
  • On the asymptotic behaviour of solutions of the stationary Navier–Stokes
           equations in dimension 3
    • Authors: Agathe Decaster; Dragoş Iftimie
      Pages: 277 - 291
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Agathe Decaster, Dragoş Iftimie
      In this paper, we address the problem of determining the asymptotic behaviour of the solutions of the incompressible stationary Navier–Stokes system in the full space, with a forcing term whose asymptotic behaviour at infinity is homogeneous of degree −3. We identify the asymptotic behaviour at infinity of the solution. We prove that it is homogeneous and that the leading term in the expansion at infinity uniquely solves the homogeneous Navier–Stokes equations with a forcing term which involves an additional Dirac mass. This also applies to the case of an exterior domain.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.002
       
  • The obstacle problem with singular coefficients near Dirichlet data
    • Authors: Henrik Shahgholian; Karen Yeressian
      Pages: 293 - 334
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Henrik Shahgholian, Karen Yeressian
      In this paper we study the behaviour of the free boundary close to its contact points with the fixed boundary B ∩ { x 1 = 0 } in the obstacle type problem { div ( x 1 a ∇ u ) = χ { u > 0 } in B + , u = 0 on B ∩ { x 1 = 0 } where a < 1 , B + = B ∩ { x 1 > 0 } , B is the unit ball in R n and n ≥ 2 is an integer. Let Γ = B + ∩ ∂ { u > 0 } be the free boundary and assume that the origin is a contact point, i.e. 0 ∈ Γ ‾ . We prove that the free boundary touches the fixed boundary uniformly tangentially at the origin, near to the origin it is the graph of a C 1 function and there is a uniform modulus of continuity for the derivatives of this function.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.003
       
  • Generic regularity of conservative solutions to a nonlinear wave equation
    • Authors: Alberto Bressan; Geng Chen
      Pages: 335 - 354
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Alberto Bressan, Geng Chen
      The paper is concerned with conservative solutions to the nonlinear wave equation u t t − c ( u ) ( c ( u ) u x ) x   =   0 . For an open dense set of C 3 initial data, we prove that the solution is piecewise smooth in the t–x plane, while the gradient u x can blow up along finitely many characteristic curves. The analysis is based on a variable transformation introduced in [7], which reduces the equation to a semilinear system with smooth coefficients, followed by an application of Thom's transversality theorem.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.004
       
  • Parabolic equations and the bounded slope condition
    • Authors: Verena Bögelein; Frank Duzaar; Paolo Marcellini; Stefano Signoriello
      Pages: 355 - 379
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Verena Bögelein, Frank Duzaar, Paolo Marcellini, Stefano Signoriello
      In this paper we establish the existence of Lipschitz-continuous solutions to the Cauchy Dirichlet problem of evolutionary partial differential equations { ∂ t u − div D f ( D u ) = 0 in  Ω T , u = u o on  ∂ P Ω T . The only assumptions needed are the convexity of the generating function f : R n → R , and the classical bounded slope condition on the initial and the lateral boundary datum u o ∈ W 1 , ∞ ( Ω ) . We emphasize that no growth conditions are assumed on f and that – an example which does not enter in the elliptic case – u o could be any Lipschitz initial and boundary datum, vanishing at the boundary ∂Ω, and the boundary may contain flat parts, for instance Ω could be a rectangle in R n .

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.005
       
  • On the attractor for the semi-dissipative Boussinesq equations
    • Authors: Animikh Biswas; Ciprian Foias; Adam Larios
      Pages: 381 - 405
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Animikh Biswas, Ciprian Foias, Adam Larios
      In this article, we study the long time behavior of solutions of a variant of the Boussinesq system in which the equation for the velocity is parabolic while the equation for the temperature is hyperbolic. We prove that the system has a global attractor which retains some of the properties of the global attractors for the 2D and 3D Navier–Stokes equations. Moreover, this attractor contains infinitely many invariant manifolds in which several universal properties of the Batchelor, Kraichnan, Leith theory of turbulence are potentially present.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.006
       
  • Transience and multifractal analysis
    • Authors: Godofredo Iommi; Thomas Jordan; Mike Todd
      Pages: 407 - 421
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Godofredo Iommi, Thomas Jordan, Mike Todd
      We study dimension theory for dissipative dynamical systems, proving a conditional variational principle for the quotients of Birkhoff averages restricted to the recurrent part of the system. On the other hand, we show that when the whole system is considered (and not just its recurrent part) the conditional variational principle does not necessarily hold. Moreover, we exhibit an example of a topologically transitive map having discontinuous Lyapunov spectrum. The mechanism producing all these pathological features on the multifractal spectra is transience, that is, the non-recurrent part of the dynamics.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.007
       
  • From constant to non-degenerately vanishing magnetic fields in
           superconductivity
    • Authors: Bernard Helffer; Ayman Kachmar
      Pages: 423 - 438
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Bernard Helffer, Ayman Kachmar
      We explore the relationship between two reference functions arising in the analysis of the Ginzburg–Landau functional. The first function describes the distribution of superconductivity in a type II superconductor subjected to a constant magnetic field. The second function describes the distribution of superconductivity in a type II superconductor submitted to a variable magnetic field that vanishes non-degenerately along a smooth curve.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2015.12.008
       
  • Nonhomogeneous boundary conditions for the spectral fractional Laplacian
    • Authors: Nicola Abatangelo; Louis Dupaigne
      Pages: 439 - 467
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Nicola Abatangelo, Louis Dupaigne
      We present a construction of harmonic functions on bounded domains for the spectral fractional Laplacian operator and we classify them in terms of their divergent profile at the boundary. This is used to establish and solve boundary value problems associated with nonhomogeneous boundary conditions. We provide a weak- L 1 theory to show how problems with measure data at the boundary and inside the domain are well-posed. We study linear and semilinear problems, performing a sub- and supersolution method. We finally show the existence of large solutions for some power-like nonlinearities.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2016.02.001
       
  • A one-dimensional symmetry result for a class of nonlocal semilinear
           equations in the plane
    • Authors: François Hamel; Xavier Ros-Oton; Yannick Sire; Enrico Valdinoci
      Pages: 469 - 482
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): François Hamel, Xavier Ros-Oton, Yannick Sire, Enrico Valdinoci
      We consider entire solutions to L u = f ( u ) in R 2 , where L is a nonlocal operator with translation invariant, even and compactly supported kernel K. Under different assumptions on the operator L , we show that monotone solutions are necessarily one-dimensional. The proof is based on a Liouville type approach. A variational characterization of the stability notion is also given, extending our results in some cases to stable solutions.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2016.01.001
       
  • Viscoelastic flows in a rough channel: A multiscale analysis
    • Authors: Laurent Chupin; Sébastien Martin
      Pages: 483 - 508
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Laurent Chupin, Sébastien Martin
      We investigate the influence of the rough boundaries on viscoelastic flows, described by the diffusive Oldroyd model. The fluid domain has a rough wall modeled by roughness patterns of size ε ≪ 1 . We present and rigorously justify an asymptotic expansion with respect to ε, at any order, based upon the definition of elementary problems: Oldroyd-type problems at the global scale defined on a smoothened domain and boundary-layer corrector problems. The resulting analysis guarantees optimality with respect to the truncation error and leads to a numerical algorithm which allows us to build the approximation of the solution at any required precision.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2016.01.002
       
  • On the growth of Sobolev norms of solutions of the fractional defocusing
           NLS equation on the circle
    • Authors: Joseph Thirouin
      Pages: 509 - 531
      Abstract: Publication date: March–April 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 2
      Author(s): Joseph Thirouin
      This paper is devoted to the study of large time bounds for the Sobolev norms of the solutions of the following fractional cubic Schrödinger equation on the torus: i ∂ t u = D α u + u 2 u , u ( 0 , ⋅ ) = u 0 , where α is a real parameter. We show that, apart from the case α = 1 , which corresponds to a half-wave equation with no dispersive property at all, solutions of this equation grow at a polynomial rate at most. We also address the case of the cubic and quadratic half-wave equations.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2016.02.002
       
  • Analysis of degenerate cross-diffusion population models with volume
           filling
    • Authors: Nicola Zamponi; Ansgar Jüngel
      Pages: 1 - 29
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Nicola Zamponi, Ansgar Jüngel
      A class of parabolic cross-diffusion systems modeling the interaction of an arbitrary number of population species is analyzed in a bounded domain with no-flux boundary conditions. The equations are formally derived from a random-walk lattice model in the diffusion limit. Compared to previous results in the literature, the novelty is the combination of general degenerate diffusion and volume-filling effects. Conditions on the nonlinear diffusion coefficients are identified, which yield a formal gradient-flow or entropy structure. This structure allows for the proof of global-in-time existence of bounded weak solutions and the exponential convergence of the solutions to the constant steady state. The existence proof is based on an approximation argument, the entropy inequality, and new nonlinear Aubin–Lions compactness lemmas. The proof of the large-time behavior employs the entropy estimate and convex Sobolev inequalities. Moreover, under simplifying assumptions on the nonlinearities, the uniqueness of weak solutions is shown by using the H − 1 method, the E-monotonicity technique of Gajewski, and the subadditivity of the Fisher information.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.08.003
       
  • Spectral structure of transfer operators for expanding circle maps
    • Authors: Oscar F. Bandtlow; Wolfram Just; Julia Slipantschuk
      Pages: 31 - 43
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk
      We explicitly determine the spectrum of transfer operators (acting on spaces of holomorphic functions) associated to analytic expanding circle maps arising from finite Blaschke products. This is achieved by deriving a convenient natural representation of the respective adjoint operators.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.08.004
       
  • The Monge–Ampère constraint: Matching of isometries, density and
           regularity, and elastic theories of shallow shells
    • Authors: Marta Lewicka; L. Mahadevan; Mohammad Reza Pakzad
      Pages: 45 - 67
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Marta Lewicka, L. Mahadevan, Mohammad Reza Pakzad
      The main analytical ingredients of the first part of this paper are two independent results: a theorem on approximation of W 2 , 2 solutions of the Monge–Ampère equation by smooth solutions, and a theorem on the matching (in other words, continuation) of second order isometries to exact isometric embeddings of 2d surface in R 3 . In the second part, we rigorously derive the Γ-limit of 3-dimensional nonlinear elastic energy of a shallow shell of thickness h, where the depth of the shell scales like h α and the applied forces scale like h α + 2 , in the limit when h → 0 . We offer a full analysis of the problem in the parameter range α ∈ ( 1 / 2 , 1 ) . We also complete the analysis in some specific cases for the full range α ∈ ( 0 , 1 ) , applying the results of the first part of the paper.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.08.005
       
  • Moderate solutions of semilinear elliptic equations with Hardy potential
    • Authors: Moshe Marcus; Phuoc-Tai Nguyen
      Pages: 69 - 88
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Moshe Marcus, Phuoc-Tai Nguyen
      Let Ω be a bounded smooth domain in R N . We study positive solutions of equation (E) − L μ u + u q = 0 in Ω where L μ = Δ + μ δ 2 , 0 < μ , q > 1 and δ ( x ) = dist ( x , ∂ Ω ) . A positive solution of (E) is moderate if it is dominated by an L μ -harmonic function. If μ < C H ( Ω ) (the Hardy constant for Ω) every positive L μ -harmonic function can be represented in terms of a finite measure on ∂Ω via the Martin representation theorem. However the classical measure boundary trace of any such solution is zero. We introduce a notion of normalized boundary trace by which we obtain a complete classification of the positive moderate solutions of (E) in the subcritical case, 1 < q < q μ , c . (The critical value depends only on N and μ.) For q ≥ q μ , c there exists no moderate solution with an isolated singularity on the boundary. The normalized boundary trace and associated boundary value problems are also discussed in detail for the linear operator L μ . These results form the basis for the study of the nonlinear problem.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.10.001
       
  • Everywhere differentiability of viscosity solutions to a class of
           Aronsson's equations
    • Authors: Juhana Siljander; Changyou Wang; Yuan Zhou
      Pages: 119 - 138
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Juhana Siljander, Changyou Wang, Yuan Zhou
      We show the everywhere differentiability of viscosity solutions to a class of Aronsson equations in R n for n ≥ 2 , where the coefficient matrices A are assumed to be uniformly elliptic and C 1 , 1 . Our result extends an earlier important theorem by Evans and Smart [18] who have studied the case A = I n which correspond to the ∞-Laplace equation. We also show that every point is a Lebesgue point for the gradient. In the process of proving the results we improve some of the gradient estimates obtained for the infinity harmonic functions. The lack of suitable gradient estimates has been a major obstacle for solving the C 1 , α problem in this setting, and we aim to take a step towards better understanding of this problem, too. A key tool in our approach is to study the problem in a suitable intrinsic geometry induced by the coefficient matrix A. Heuristically, this corresponds to considering the question on a Riemannian manifold whose the metric is given by the matrix A.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.10.003
       
  • L2-contraction for shock waves of scalar viscous conservation laws
    • Authors: Moon-Jin Kang; Alexis F. Vasseur
      Pages: 139 - 156
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Moon-Jin Kang, Alexis F. Vasseur
      We consider the L 2 -contraction up to a shift for viscous shocks of scalar viscous conservation laws with strictly convex fluxes in one space dimension. In the case of a flux which is a small perturbation of the quadratic Burgers flux, we show that any viscous shock induces a contraction in L 2 , up to a shift. That is, the L 2 norm of the difference of any solution of the viscous conservation law, with an appropriate shift of the shock wave, does not increase in time. If, in addition, the difference between the initial value of the solution and the shock wave is also bounded in L 1 , the L 2 norm of the difference converges at the optimal rate t − 1 / 4 . Both results do not involve any smallness condition on the initial value, nor on the size of the shock. In this context of small perturbations of the quadratic Burgers flux, the result improves the Choi and Vasseur's result in [7]. However, we show that the L 2 -contraction up to a shift does not hold for every convex flux. We construct a smooth strictly convex flux, for which the L 2 -contraction does not hold any more even along any Lipschitz shift.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.10.004
       
  • Asymptotic stability of solitary waves in generalized Gross–Neveu
           model
    • Authors: Andrew Comech; Tuoc Van Phan; Atanas Stefanov
      Pages: 157 - 196
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Andrew Comech, Tuoc Van Phan, Atanas Stefanov
      For the nonlinear Dirac equation in ( 1 + 1 ) D with scalar self-interaction (Gross–Neveu model), with quintic and higher order nonlinearities (and within certain range of the parameters), we prove that solitary wave solutions are asymptotically stable in the “even” subspace of perturbations (to ignore translations and eigenvalues ± 2 ω i ). The asymptotic stability is proved for initial data in H 1 . The approach is based on the spectral information about the linearization at solitary waves which we justify by numerical simulations. For the proof, we develop the spectral theory for the linearized operators and obtain appropriate estimates in mixed Lebesgue spaces, with and without weights.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.11.001
       
  • Finite time blowup for the parabolic–parabolic Keller–Segel system
           with critical diffusion
    • Authors: Philippe Laurençot; Noriko Mizoguchi
      Pages: 197 - 220
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Philippe Laurençot, Noriko Mizoguchi
      The present paper is concerned with the parabolic–parabolic Keller–Segel system ∂ t u = div ( ∇ u q + 1 − u ∇ v ) , t > 0 , x ∈ Ω , ∂ t v = Δ v − α v + u , t > 0 , x ∈ Ω , ( u , v ) ( 0 ) = ( u 0 , v 0 ) ≥ 0 , x ∈ Ω , with degenerate critical diffusion q = q ⋆ : = ( N − 2 ) / N in space dimension N ≥ 3 , the underlying domain Ω being either Ω = R N or the open ball Ω = B R ( 0 ) of R N with suitable boundary conditions. It has remained open whether there exist solutions blowing up in finite time, the existence of such solutions being known for the parabolic–elliptic reduction with the second equation replaced by 0 = Δ v − α v + u . Assuming that N = 3 , 4 and α > 0 , we prove that radially symmetric solutions with negative initial energy blow up in finite time in Ω = R N and in Ω = B R ( 0 ) under mixed Neumann–Dirichlet boundary conditions. Moreover, if Ω = B R ( 0 ) and Neumann boundary conditions are imposed on both u and v, we show the existence of a positive constant C depending only on N, Ω, and the mass of u 0 such that radially symmetric solutions blow up in finite time if the initial energy does not exceed −C. The criterion for finite time blowup is satisfied by a large class of initial data.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.11.002
       
  • The obstacle-mass constraint problem for hyperbolic conservation laws.
           Solvability
    • Authors: Paulo Amorim; Wladimir Neves; José Francisco Rodrigues
      Pages: 221 - 248
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Paulo Amorim, Wladimir Neves, José Francisco Rodrigues
      In this work we introduce the obstacle-mass constraint problem for a multidimensional scalar hyperbolic conservation law. We prove existence of an entropy solution to this problem by a penalization/viscosity method. The mass constraint introduces a nonlocal Lagrange multiplier in the penalized equation, giving rise to a nonlocal parabolic problem. We introduce a compatibility condition relating the initial datum and the obstacle function which ensures global in time existence of solution. This is not a smoothness condition, but relates to the propagation of the support of the initial datum.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.11.003
       
  • The local Yamabe constant of Einstein stratified spaces
    • Authors: Ilaria Mondello
      Pages: 249 - 275
      Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Ilaria Mondello
      On a compact stratified space ( X , g ) , a metric of constant scalar curvature exists in the conformal class of g if the scalar curvature S g satisfies an integrability condition and if the Yamabe constant of X is strictly smaller than the local Yamabe constant Y ℓ ( X ) . This latter is a conformal invariant introduced in the recent work of K. Akutagawa, G. Carron and R. Mazzeo. It depends on the local structure of X, in particular on its links, but its explicit value is unknown. We show that if the links satisfy a Ricci positive lower bound, then we can compute Y ℓ ( X ) . In order to achieve this, we prove a lower bound for the spectrum of the Laplacian, by extending a well-known theorem by A. Lichnerowicz, and a Sobolev inequality, inspired by a result due to D. Bakry. A particular stratified space, with one stratum of codimension 2 and cone angle bigger than 2π, must be handled separately – in this case we prove the existence of an Euclidean isoperimetric inequality.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2015.12.001
       
  • On Lipschitz solutions for some forward–backward parabolic equations
    • Authors: Seonghak Kim; Baisheng Yan
      Abstract: Publication date: Available online 18 March 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Seonghak Kim, Baisheng Yan
      We investigate the existence and properties of Lipschitz solutions for some forward-backward parabolic equations in all dimensions. Our main approach to existence is motivated by reformulating such equations into partial differential inclusions and relies on a Baire's category method. In this way, the existence of infinitely many Lipschitz solutions to certain initial-boundary value problem of those equations is guaranteed under a pivotal density condition. Under this framework, we study two important cases of forward-backward anisotropic diffusion in which the density condition can be realized and therefore the existence results follow together with micro-oscillatory behavior of solutions. The first case is a generalization of the Perona-Malik model in image processing and the other that of Höllig's model related to the Clausius-Duhem inequality in the second law of thermodynamics.

      PubDate: 2017-03-20T13:19:06Z
      DOI: 10.1016/j.anihpc.2017.03.001
       
  • Plates with incompatible prestrain of high order
    • Authors: Marta Lewicka; Annie Raoult; Diego Ricciotti
      Abstract: Publication date: Available online 15 February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Marta Lewicka, Annie Raoult, Diego Ricciotti
      We study the elastic behaviour of incompatibly prestrained thin plates of thickness h whose internal energy E h is governed by an imposed three-dimensional smooth Riemann metric G only depending on the variable in the midsurface ω. It is already known that h − 2 inf ⁡ E h converges to a finite value c when the metric G restricted to the midsurface has a sufficiently regular immersion, namely W 2 , 2 ( ω , R 3 ) . The obtained limit model generalizes the bending (Kirhchoff) model of Euclidean elasticity. In the present paper, we deal with the case when c equals 0. Then, equivalently, three independent entries of the three-dimensional Riemann curvature tensor associated with G are null. We prove that, in such regime, necessarily inf ⁡ E h ≤ C h 4 . We identify the Γ-limit of the scaled energies h − 4 E h and show that it consists of a von Kármán-like energy. The unknowns in this energy are the first order incremental displacements with respect to the deformation defined by the bending model and the second order tangential strains. In addition, we prove that when inf ⁡ h − 4 E h → 0 , then G is realizable and hence min ⁡ E h = 0 for every h.

      PubDate: 2017-02-17T03:27:12Z
      DOI: 10.1016/j.anihpc.2017.01.003
       
  • A global weak solution of the Dirac-harmonic map flow
    • Authors: Jürgen Jost; Lei Liu; Miaomiao Zhu
      Abstract: Publication date: Available online 11 February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Jürgen Jost, Lei Liu, Miaomiao Zhu
      We show the existence of a global weak solution of the heat flow for Dirac-harmonic maps from compact Riemann surfaces with boundary when the energy of the initial map and the L 2 -norm of the boundary values of the spinor are sufficiently small. Dirac-harmonic maps couple a second order harmonic map type system with a first-order Dirac type system. The heat flow that has been introduced in [9] and that we investigate here is novel insofar as we only make the second order part parabolic, but carry the first order part along the resulting flow as an elliptic constraint. Of course, since the equations are coupled, both parts then change along the flow. The solution is unique and regular with the exception of at most finitely many singular times. We also discuss the behavior at the singularities of the flow. As an application, we deduce some existence results for Dirac-harmonic maps. Since we may impose nontrivial boundary conditions also for the spinor part, in the limit, we shall obtain Dirac-harmonic maps with nontrivial spinor part.

      PubDate: 2017-02-17T03:27:12Z
      DOI: 10.1016/j.anihpc.2017.01.002
       
  • A sharp Cauchy theory for the 2D gravity-capillary waves
    • Authors: Huy Quang Nguyen
      Abstract: Publication date: Available online 30 January 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Huy Quang Nguyen
      This article is devoted to the Cauchy problem for the 2D gravity-capillary water waves in fluid domains with general bottoms. Local well-posedness for this problem with Lipschitz initial velocity was established by Alazard–Burq–Zuily [1]. We prove that the Cauchy problem in Sobolev spaces is uniquely solvable for initial data 1 4 -derivative less regular than the aforementioned threshold, which corresponds to the gain of Hölder regularity of the semi-classical Strichartz estimate for the fully nonlinear system. In order to obtain this Cauchy theory, we establish global, quantitative results for the paracomposition theory of Alinhac [5].

      PubDate: 2017-02-04T11:27:21Z
      DOI: 10.1016/j.anihpc.2016.12.007
       
  • A quantitative theory for the continuity equation
    • Authors: Christian Seis
      Abstract: Publication date: Available online 27 January 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Christian Seis
      In this work, we provide stability estimates for the continuity equation with Sobolev vector fields. The results are inferred from contraction estimates for certain logarithmic Kantorovich–Rubinstein distances. As a by-product, we obtain a new proof of uniqueness in the DiPerna–Lions setting. The novelty in the proof lies in the fact that it is not based on the theory of renormalized solutions.

      PubDate: 2017-02-04T11:27:21Z
      DOI: 10.1016/j.anihpc.2017.01.001
       
  • The Kato smoothing effect for regularized Schrödinger equations in
           exterior domains
    • Authors: Lassaad Aloui; Moez Khenissi; Luc Robbiano
      Abstract: Publication date: Available online 27 January 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Lassaad Aloui, Moez Khenissi, Luc Robbiano
      We prove, under the exterior geometric control condition, the Kato smoothing effect for solutions of an inhomogeneous and damped Schrödinger equation on exterior domains.

      PubDate: 2017-02-04T11:27:21Z
      DOI: 10.1016/j.anihpc.2016.12.006
       
  • Damping of particles interacting with a vibrating medium
    • Authors: Ricardo Alonso; Thierry Goudon; Arthur Vavasseur
      Abstract: Publication date: Available online 9 January 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Ricardo Alonso, Thierry Goudon, Arthur Vavasseur
      We investigate the large time behavior of the solutions of a Vlasov–Fokker–Planck equation where particles are subjected to a confining external potential and a self-consistent potential intended to describe the interaction of the particles with their environment. The environment is seen as a medium vibrating in a direction transverse to particles' motion. We identify equilibrium states of the model and justify the asymptotic trend to equilibrium. The analysis relies on hypocoercivity techniques.

      PubDate: 2017-01-13T07:15:50Z
      DOI: 10.1016/j.anihpc.2016.12.005
       
  • The Cauchy problem on large time for the Water Waves equations with large
           topography variations
    • Abstract: Publication date: January–February 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 1
      Author(s): Benoît Mésognon-Gireau
      This paper shows that the long time existence of solutions to the Water Waves equations remains true with a large topography in presence of surface tension. More precisely, the dimensionless equations depend strongly on three parameters ε , μ , β measuring the amplitude of the waves, the shallowness and the amplitude of the bathymetric variations respectively. In [2], the local existence of solutions to this problem is proved on a time interval of size 1 max ⁡ ( β , ε ) and uniformly with respect to μ. In presence of large bathymetric variations (typically β ≫ ε ), the existence time is therefore considerably reduced. We remove here this restriction and prove the local existence on a time interval of size 1 ε under the constraint that the surface tension parameter must be at the same order as the shallowness parameter μ. We also show that the result of [5] dealing with large bathymetric variations for the Shallow Water equations can be viewed as a particular endpoint case of our result.

      PubDate: 2017-01-13T07:15:50Z
       
  • Lagrangian flows for vector fields with anisotropic regularity
    • Authors: Anna Bohun; François Bouchut; Gianluca Crippa
      Pages: 1409 - 1429
      Abstract: Publication date: November–December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 33, Issue 6
      Author(s): Anna Bohun, François Bouchut, Gianluca Crippa
      We prove quantitative estimates for flows of vector fields subject to anisotropic regularity conditions: some derivatives of some components are (singular integrals of) measures, while the remaining derivatives are (singular integrals of) integrable functions. This is motivated by the regularity of the vector field in the Vlasov–Poisson equation with measure density. The proof exploits an anisotropic variant of the argument in [14,20] and suitable estimates for the difference quotients in such anisotropic context. In contrast to regularization methods, this approach gives quantitative estimates in terms of the given regularity bounds. From such estimates it is possible to recover the well posedness for the ordinary differential equation and for Lagrangian solutions to the continuity and transport equations.

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2015.05.005
       
  • Existence of solutions to a two-dimensional model for nonisothermal
           two-phase flows of incompressible fluids
    • Authors: Michela Eleuteri; Elisabetta Rocca; Giulio Schimperna
      Pages: 1431 - 1454
      Abstract: Publication date: November–December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 33, Issue 6
      Author(s): Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna
      We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. The model was recently introduced in [11] where existence of weak solutions was proved in three space dimensions. Here, we aim to study the properties of solutions in the two-dimensional case. In particular, we can show existence of global in time solutions satisfying a stronger formulation of the model with respect to the one considered in [11].

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2015.05.006
       
  • Optimal regularity in the optimal switching problem
    • Authors: Gohar Aleksanyan
      Pages: 1455 - 1471
      Abstract: Publication date: November–December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 33, Issue 6
      Author(s): Gohar Aleksanyan
      In this article we study the optimal regularity for solutions to the following weakly coupled system with interconnected obstacles { min ⁡ ( − Δ u 1 + f 1 , u 1 − u 2 + ψ 1 ) = 0 min ⁡ ( − Δ u 2 + f 2 , u 2 − u 1 + ψ 2 ) = 0 , arising in the optimal switching problem with two modes. We derive the optimal C 1 , 1 -regularity for the minimal solution under the assumption that the zero loop set L : = { ψ 1 + ψ 2 = 0 } is the closure of its interior. This result is optimal and we provide a counterexample showing that the C 1 , 1 -regularity does not hold without the assumption L = L 0 ‾ .

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2015.06.001
       
  • Dispersion for 1-D Schrödinger and wave equations with BV
           coefficients
    • Authors: Constantin N. Beli; Liviu I. Ignat; Enrique Zuazua
      Pages: 1473 - 1495
      Abstract: Publication date: November–December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 33, Issue 6
      Author(s): Constantin N. Beli, Liviu I. Ignat, Enrique Zuazua
      In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV coefficients. In the case of the wave equation we give a complete answer in terms of the variation of the logarithm of the coefficient showing that dispersion occurs if this variation is small enough but it may fail when the variation goes beyond a sharp threshold. For the Schrödinger equation we prove that the dispersion holds under the same smallness assumption on the variation of the coefficient. But, whether dispersion may fail for larger coefficients is unknown for the Schrödinger equation.

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2015.06.002
       
  • A constructive approach to positive solutions of Δpu+f(u,∇u)≤0 on
           Riemannian manifolds
    • Authors: Yuzhao Wang; Jie Xiao
      Pages: 1497 - 1507
      Abstract: Publication date: November–December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 33, Issue 6
      Author(s): Yuzhao Wang, Jie Xiao
      Grigor'yan–Sun in [6] (with p = 2 ) and Sun in [10] (with p > 1 ) proved that if sup r ≫ 1 ⁡ vol ( B ( x 0 , r ) ) r p σ p − σ − 1 ( ln ⁡ r ) p − 1 p − σ − 1 < ∞ then the only non-negative weak solution of Δ p u + u σ ≤ 0 on a complete Riemannian manifold is identically 0; moreover, the powers of r and ln ⁡ r are sharp. In this note, we present a constructive approach to the sharpness, which is flexible enough to treat the sharpness for Δ p u + f ( u , ∇ u ) ≤ 0 . Our construction is based on a perturbation of the fundamental solution to the p-Laplace equation, and we believe that the ideas introduced here are applicable to other nonlinear differential inequalities on manifolds.

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2015.06.003
       
  • Existence of global solutions and global attractor for the third order
           Lugiato-Lefever equation on T
    • Authors: Tomoyuki Miyaji; Yoshio Tsutsumi
      Abstract: Publication date: Available online 23 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Tomoyuki Miyaji, Yoshio Tsutsumi
      We show the existence of global solution and the global attractor in L 2 ( T ) for the third order Lugiato-Lefever equation on T. Without damping and forcing terms, it has three conserved quantities, that is, the L 2 ( T ) norm, the momentum and the energy, but the leading term of the energy functional is not positive definite. So only the L 2 norm conservation is useful for the third order Lugiato-Lefever equation unlike the KdV and the cubic NLS equations. Therefore, it seems important and natural to construct the global attractor in L 2 ( T ) . For the proof of the global attractor, we use the smoothing effect of cubic nonlinearity for the reduced equation.

      PubDate: 2016-12-26T04:06:16Z
      DOI: 10.1016/j.anihpc.2016.12.004
       
  • From optimal transportation to optimal teleportation
    • Authors: Wolansky
      Abstract: Publication date: Available online 15 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): G. Wolansky
      The object of this paper is to study estimates of ϵ − q W p ( μ + ϵ ν , μ ) for small ϵ > 0 . Here W p is the Wasserstein metric on positive measures, p > 1 , μ is a probability measure and ν a signed, neutral measure ( ∫ d ν = 0 ). In [16] we proved uniform (in ϵ) estimates for q = 1 provided ∫ ϕ d ν can be controlled in terms of ∫ ∇ ϕ p / ( p − 1 ) d μ , for any smooth function ϕ. In this paper we extend the results to the case where such a control fails. This is the case where if, e.g. μ has a disconnected support, or if the dimension of μ , d (to be defined) is larger or equal p / ( p − 1 ) . In the latter case we get such an estimate provided 1 / p + 1 / d ≠ 1 for q = min ⁡ ( 1 , 1 / p + 1 / d ) . If 1 / p + 1 / d = 1 we get a log-Lipschitz estimate. As an application we obtain Hölder estimates in W p for curves of probability measures which are absolutely continuous in the total variation norm . In case the support of μ is disconnected (corresponding to d = ∞ ) we obtain sharp estimates for q = 1 / p (“optimal teleportation”): lim ϵ → 0 ⁡ ϵ − 1 / p W p ( μ , μ + ϵ ν ) = ‖ ν ‖ μ where ‖ ν ‖ μ is expressed in terms of optimal transport on a metric graph, determined only by the relative distances between the connected components of the support of μ, and the weights of the measure ν in each connected component of this support.

      PubDate: 2016-12-19T11:09:19Z
       
  • Codimension two surfaces pinched by normal curvature evolving by mean
           curvature flow
    • Authors: Charles Baker; Huy The Nguyen
      Abstract: Publication date: Available online 9 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Charles Baker, Huy The Nguyen
      We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature smoothly evolve by mean curvature flow to round points.

      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.10.010
       
  • Nonhyperbolic step skew-products: Ergodic approximation
    • Authors: L.J. Díaz; K. Gelfert; M. Rams
      Abstract: Publication date: Available online 9 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): L.J. Díaz, K. Gelfert, M. Rams
      We study transitive step skew-product maps modeled over a complete shift of k, k ≥ 2 , symbols whose fiber maps are defined on the circle and have intermingled contracting and expanding regions. These dynamics are genuinely nonhyperbolic and exhibit simultaneously ergodic measures with positive, negative, and zero exponents. We introduce a set of axioms for the fiber maps and study the dynamics of the resulting skew-product. These axioms turn out to capture the key mechanisms of the dynamics of nonhyperbolic robustly transitive maps with compact central leaves. Focusing on the nonhyperbolic ergodic measures (with zero fiber exponent) of these systems, we prove that such measures are approximated in the weak⁎ topology and in entropy by hyperbolic ones. We also prove that they are in the intersection of the convex hulls of the measures with positive fiber exponent and with negative fiber exponent. Our methods also allow us to perturb hyperbolic measures. We can perturb a measure with negative exponent directly to a measure with positive exponent (and vice-versa), however we lose some amount of entropy in this process. The loss of entropy is determined by the difference between the Lyapunov exponents of the measures.

      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.10.009
       
  • Existence and non-existence of transition fronts for bistable and ignition
           reactions
    • Authors: Andrej
      Abstract: Publication date: Available online 7 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Andrej Zlatoš
      We study reaction-diffusion equations in one spatial dimension and with general (space- or time-) inhomogeneous mixed bistable-ignition reactions. For those satisfying a simple quantitative hypothesis, we prove existence and uniqueness of transition fronts, as well as convergence of “typical” solutions to the unique transition front (the existence part even extends to mixed bistable-ignition-monostable reactions). These results also hold for all pure ignition reactions without the extra hypothesis, but not for all pure bistable reactions. In fact, we find examples of either spatially or temporally periodic pure bistable reactions (independent of the other space-time variable) for which we can prove non-existence of transition fronts. The latter are the first such exa mples in periodic media which are non-degenerate in a natural sense, and they also prove a conjecture from [7].

      PubDate: 2016-12-12T09:15:15Z
       
  • Regularity estimates for quasilinear elliptic equations with variable
           growth involving measure data
    • Authors: Sun-Sig Byun; Jihoon Ok; Jung-Tae Park
      Abstract: Publication date: Available online 7 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Sun-Sig Byun, Jihoon Ok, Jung-Tae Park
      We investigate a quasilinear elliptic equation with variable growth in a bounded nonsmooth domain involving a signed Radon measure. We obtain an optimal global Calderón–Zygmund type estimate for such a measure data problem, by proving that the gradient of a very weak solution to the problem is as globally integrable as the first order maximal function of the associated measure, up to a correct power, under minimal regularity requirements on the nonlinearity, the variable exponent and the boundary of the domain.

      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.12.002
       
  • A boundary control problem for the steady self-propelled motion of a rigid
           body in a Navier-Stokes fluid
    • Authors: Toshiaki Hishida; Ana Leonor Silvestre; Takéo Takahashi
      Abstract: Publication date: Available online 6 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi
      Consider a rigid body S ⊂ R 3 immersed in an infinitely extended Navier-Stokes fluid. We are interested in self-propelled motions of S in the steady state regime of the system rigid body-fluid, assuming that the mechanism used by the body to reach such a motion is modeled through a distribution of velocities v ⁎ on ∂ S . If the velocity V of S is given, can we find v ⁎ that generates V? We show that this can be solved as a control problem in which v ⁎ is a six-dimensional control such that either Supp  v ⁎ ⊂ Γ , an arbitrary nonempty open subset of ∂Ω, or v ⁎ ⋅ n ∂ Ω = 0 . We also show that one of the self-propelled conditions implies a better summability of the fluid velocity.

      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.11.003
       
  • Singular solutions for divergence-form elliptic equations involving
           regular variation theory: Existence and classification
    • Authors: Ting-Ying Chang; Florica C. Cîrstea
      Abstract: Publication date: Available online 5 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Ting-Ying Chang, Florica C. Cîrstea
      We generalise and sharpen several recent results in the literature regarding the existence and complete classification of the isolated singularities for a broad class of nonlinear elliptic equations of the form (0.1) − div ( A ( x ) ∇ u p − 2 ∇ u ) + b ( x ) h ( u ) = 0 in  B 1 ∖ { 0 } , where B r denotes the open ball with radius r > 0 centred at 0 in R N ( N ≥ 2 ) . We assume that A ∈ C 1 ( 0 , 1 ] , b ∈ C ( B 1 ‾ ∖ { 0 } ) and h ∈ C [ 0 , ∞ ) are positive functions associated with regularly varying functions of index ϑ, σ and q at 0, 0 and ∞ respectively, satisfying q > p − 1 > 0 and ϑ − σ < p < N + ϑ . We prove that the condition b ( x ) h ( Φ ) ∉ L 1 ( B 1 / 2 ) is sharp for the removability of all singularities at 0 for the positive solutions of (0.1), where Φ denotes the “fundamental solution” of − div ( A ( x ) ∇ u p − 2 ∇ u ) = δ 0 (the Dirac mass at 0) in B 1 , subject to Φ ∂ B 1 = 0 . If b ( x ) h ( Φ ) ∈ L 1 ( B 1 / 2 )
      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.12.001
       
  • Nonlinear Beltrami operators, Schauder estimates and bounds for the
           Jacobian
    • Authors: Kari Astala; Albert Clop; Daniel Faraco; Jarmo Jääskeläinen; Aleksis Koski
      Abstract: Publication date: Available online 5 December 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
      We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in [1] but here we give detailed proofs.

      PubDate: 2016-12-12T09:15:15Z
      DOI: 10.1016/j.anihpc.2016.10.008
       
  • log–log blow up solutions blow up at exactly m points
    • Authors: Chenjie Fan
      Abstract: Publication date: Available online 21 November 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Chenjie Fan
      We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly m points according to the log–log law.

      PubDate: 2016-11-23T13:38:41Z
      DOI: 10.1016/j.anihpc.2016.11.002
       
  • Two-dimensional impinging jets in hydrodynamic rotational flows
    • Authors: Jianfeng Cheng; Lili Du; Yongfu Wang
      Abstract: Publication date: Available online 17 November 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Jianfeng Cheng, Lili Du, Yongfu Wang
      The free streamline theory in hydrodynamics is an important and difficult issue not only in fluid mechanics but also in mathematics. The major purpose in this paper is to establish the well-posedness of the impinging jets in steady incompressible, rotational, plane flows. More precisely, given a mass flux and a vorticity of the incoming flows in the inlet of the nozzle, there exists a unique smooth impinging plane jet. Moreover, there exists a smooth free streamline, which goes to infinity and initiates at the endpoint of the nozzle smoothly. In addition, asymptotic behavior in upstream and downstream, uniform direction and other properties of the impinging jet are also obtained. The main ingredients of the mathematic analysis in this paper are based on the modified variational method developed by H. W. Alt, L. A. Caffarelli and A. Friedman in the elegant works [1,17], which has been shown to be powerful to deal with the steady irrotational flows with free streamlines.

      PubDate: 2016-11-23T13:38:41Z
      DOI: 10.1016/j.anihpc.2016.10.007
       
  • Continuity and density results for a one-phase nonlocal free boundary
           problem
    • Authors: Serena Dipierro; Enrico Valdinoci
      Abstract: Publication date: Available online 16 November 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Serena Dipierro, Enrico Valdinoci
      We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional Dirichlet energy plus a nonlocal perimeter functional. We prove that the minimizers are Hölder continuous and the free boundary has positive density from both sides. For this, we also introduce a new notion of fractional harmonic replacement in the extended variables and we study its basic properties.

      PubDate: 2016-11-17T15:51:31Z
      DOI: 10.1016/j.anihpc.2016.11.001
       
  • Structural stability of the inverse limit of endomorphisms
    • Authors: Pierre Berger; Alejandro Kocsard
      Abstract: Publication date: Available online 8 November 2016
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Pierre Berger, Alejandro Kocsard
      We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is C 1 -inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of C 1 -inverse limit structurally stable covering maps.

      PubDate: 2016-11-10T13:53:45Z
      DOI: 10.1016/j.anihpc.2016.10.001
       
 
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
 
Home (Search)
Subjects A-Z
Publishers A-Z
Customise
APIs
Your IP address: 54.158.152.80
 
About JournalTOCs
API
Help
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-2016