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  Subjects -> BUSINESS AND ECONOMICS (Total: 3153 journals)
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BUSINESS AND ECONOMICS (1162 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: 10)
Abacus     Hybrid Journal   (Followers: 12)
Accounting Forum     Hybrid Journal   (Followers: 25)
Acta Amazonica     Open Access   (Followers: 5)
Acta Commercii     Open Access   (Followers: 4)
Acta Oeconomica     Full-text available via subscription   (Followers: 2)
Acta Scientiarum. Human and Social Sciences     Open Access   (Followers: 6)
Acta Universitatis Danubius. Œconomica     Open Access   (Followers: 3)
Acta Universitatis Nicolai Copernici Zarządzanie     Open Access   (Followers: 4)
AD-minister     Open Access   (Followers: 3)
ADR Bulletin     Open Access   (Followers: 7)
Advances in Developing Human Resources     Hybrid Journal   (Followers: 23)
Advances in Economics and Business     Open Access   (Followers: 11)
AfricaGrowth Agenda     Full-text available via subscription   (Followers: 1)
African Affairs     Hybrid Journal   (Followers: 59)
African Development Review     Hybrid Journal   (Followers: 33)
African Journal of Business and Economic Research     Full-text available via subscription   (Followers: 2)
African Journal of Business Ethics     Open Access   (Followers: 6)
African Review of Economics and Finance     Open Access   (Followers: 3)
Afro-Asian Journal of Finance and Accounting     Hybrid Journal   (Followers: 7)
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: 5)
Alphanumeric Journal : The Journal of Operations Research, Statistics, Econometrics and Management Information Systems     Open Access   (Followers: 5)
American Economic Journal : Applied Economics     Full-text available via subscription   (Followers: 166)
American Journal of Business     Hybrid Journal   (Followers: 16)
American Journal of Business and Management     Open Access   (Followers: 53)
American Journal of Business Education     Open Access   (Followers: 10)
American Journal of Economics and Business Administration     Open Access   (Followers: 26)
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American Journal of Evaluation     Hybrid Journal   (Followers: 13)
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American Journal of Health Economics     Full-text available via subscription   (Followers: 13)
American Journal of Industrial and Business Management     Open Access   (Followers: 23)
American Journal of Medical Quality     Hybrid Journal   (Followers: 7)
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ANALES de la Universidad Central del Ecuador     Open Access   (Followers: 2)
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: 28)
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Annual Review of Economics     Full-text available via subscription   (Followers: 31)
Applied Developmental Science     Hybrid Journal   (Followers: 3)
Applied Economics     Hybrid Journal   (Followers: 47)
Applied Economics Letters     Hybrid Journal   (Followers: 30)
Applied Economics Quarterly     Full-text available via subscription   (Followers: 10)
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Applied Mathematical Finance     Hybrid Journal   (Followers: 7)
Applied Stochastic Models in Business and Industry     Hybrid Journal   (Followers: 5)
Arab Economic and Business Journal     Open Access   (Followers: 3)
Archives of Business Research     Open Access   (Followers: 6)
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: 6)
Asia Pacific Journal of Human Resources     Hybrid Journal   (Followers: 321)
Asia Pacific Viewpoint     Hybrid Journal   (Followers: 1)
Asia-Pacific Journal of Business Administration     Hybrid Journal   (Followers: 3)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asia-Pacific Management and Business Application     Open Access  
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: 8)
Asian Economic Papers     Hybrid Journal   (Followers: 7)
Asian Economic Policy Review     Hybrid Journal   (Followers: 4)
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 Sustainability and Social Responsibility     Open Access   (Followers: 1)
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 8)
Asian-pacific Economic Literature     Hybrid Journal   (Followers: 5)
AStA Wirtschafts- und Sozialstatistisches Archiv     Hybrid Journal   (Followers: 5)
Atlantic Economic Journal     Hybrid Journal   (Followers: 10)
Australasian Journal of Regional Studies, The     Full-text available via subscription   (Followers: 1)
Australian Cottongrower, The     Full-text available via subscription   (Followers: 1)
Australian Economic Papers     Hybrid Journal   (Followers: 31)
Australian Economic Review     Hybrid Journal   (Followers: 6)
Australian Journal of Maritime and Ocean Affairs     Hybrid Journal   (Followers: 10)
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: 4)
Benchmarking : An International Journal     Hybrid Journal   (Followers: 10)
Benefit : Jurnal Manajemen dan Bisnis     Open Access  
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: 4)
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: 10)
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: 35)
Brookings Papers on Economic Activity     Open Access   (Followers: 49)
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: 17)
Bulletin of Geography. Socio-economic Series     Open Access   (Followers: 7)
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: 18)
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 Research     Open Access   (Followers: 6)
Business and Management Horizons     Open Access   (Followers: 12)
Business and Management Research     Open Access   (Followers: 17)
Business and Management Studies     Open Access   (Followers: 9)
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: 6)
Business Information Review     Hybrid Journal   (Followers: 14)
Business Management and Strategy     Open Access   (Followers: 43)
Business Research     Hybrid Journal   (Followers: 2)
Business Strategy and the Environment     Hybrid Journal   (Followers: 13)
Business Strategy Review     Hybrid Journal   (Followers: 7)
Business Strategy Series     Hybrid Journal   (Followers: 6)
Business Systems & Economics     Open Access   (Followers: 2)
Business Systems Research Journal     Open Access   (Followers: 5)
Business, Management and Education     Open Access   (Followers: 18)
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: 59)
Cambridge Journal of Regions, Economy and Society     Hybrid Journal   (Followers: 10)
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: 28)
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: 15)
Case Studies in Business and Management     Open Access   (Followers: 9)
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: 2)
CESifo Economic Studies     Hybrid Journal   (Followers: 17)
Chain Reaction     Full-text available via subscription  
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: 8)
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: 4)
COEPTUM     Open Access  
Community Development Journal     Hybrid Journal   (Followers: 24)
Compensation & Benefits Review     Hybrid Journal   (Followers: 7)
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: 6)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computer Law & Security Review     Hybrid Journal   (Followers: 16)
Computers & Operations Research     Hybrid Journal   (Followers: 12)
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: 5)
Corporate Communications An International Journal     Hybrid Journal   (Followers: 7)
Corporate Philanthropy Report     Hybrid Journal   (Followers: 2)
Corporate Reputation Review     Hybrid Journal   (Followers: 4)
Creative and Knowledge Society     Open Access   (Followers: 10)
Creative Industries Journal     Hybrid Journal   (Followers: 10)
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: 2)
Cuadernos de Economía     Open Access   (Followers: 2)
Cuadernos de Economia - Latin American Journal of Economics     Open Access   (Followers: 2)
Cuadernos de Estudios Empresariales     Open Access   (Followers: 2)
Current Opinion in Creativity, Innovation and Entrepreneurship     Open Access   (Followers: 9)
De Economist     Hybrid Journal   (Followers: 12)
Decision Analysis     Full-text available via subscription   (Followers: 10)
Decision Sciences     Hybrid Journal   (Followers: 17)
Decision Support Systems     Hybrid Journal   (Followers: 16)
Defence and Peace Economics     Hybrid Journal   (Followers: 17)
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
   ISSN (Print) 0294-1449
   Published by Elsevier Homepage  [3089 journals]
  • Regularity estimates for quasilinear elliptic equations with variable
           growth involving measure data
    • Authors: Sun-Sig Byun; Jihoon Ok; Jung-Tae Park
      Pages: 1639 - 1667
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2016.12.002
       
  • Existence of global solutions and global attractor for the third order
           Lugiato–Lefever equation on T
    • Authors: Tomoyuki Miyaji; Yoshio Tsutsumi
      Pages: 1707 - 1725
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2016.12.004
       
  • Damping of particles interacting with a vibrating medium
    • Authors: Ricardo Alonso; Thierry Goudon; Arthur Vavasseur
      Pages: 1727 - 1758
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2016.12.005
       
  • The Kato smoothing effect for regularized Schrödinger equations in
           exterior domains
    • Authors: Lassaad Aloui; Moez Khenissi; Luc Robbiano
      Pages: 1759 - 1792
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2016.12.006
       
  • A sharp Cauchy theory for the 2D gravity-capillary waves
    • Authors: Huy Quang Nguyen
      Pages: 1793 - 1836
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2016.12.007
       
  • A quantitative theory for the continuity equation
    • Authors: Christian Seis
      Pages: 1837 - 1850
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.01.001
       
  • A global weak solution of the Dirac-harmonic map flow
    • Authors: Jürgen Jost; Lei Liu; Miaomiao Zhu
      Pages: 1851 - 1882
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.01.002
       
  • Plates with incompatible prestrain of high order
    • Authors: Marta Lewicka; Annie Raoult; Diego Ricciotti
      Pages: 1883 - 1912
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.01.003
       
  • Analysis of the loss of boundary conditions for the diffusive
           Hamilton–Jacobi equation
    • Authors: Alessio Porretta; Philippe Souplet
      Pages: 1913 - 1923
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      Author(s): Alessio Porretta, Philippe Souplet
      We consider the diffusive Hamilton–Jacobi equation, with superquadratic Hamiltonian, homogeneous Dirichlet conditions and regular initial data. It is known from [4] (Barles–DaLio, 2004) that the problem admits a unique, continuous, global viscosity solution, which extends the classical solution in case gradient blowup occurs. We study the question of the possible loss of boundary conditions after gradient blowup, which seems to have remained an open problem till now. Our results show that the issue strongly depends on the initial data and reveal a rather rich variety of phenomena. For any smooth bounded domain, we construct initial data such that the loss of boundary conditions occurs everywhere on the boundary, as well as initial data for which no loss of boundary conditions occurs in spite of gradient blowup. Actually, we show that the latter possibility is rather exceptional. More generally, we show that the set of the points where boundary conditions are lost, can be prescribed to be arbitrarily close to any given open subset of the boundary.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.02.001
       
  • Two-dimensional impinging jets in hydrodynamic rotational flows
    • Authors: Jianfeng Cheng; Lili Du; Yongfu Wang
      Pages: 1355 - 1386
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      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
      Pages: 1387 - 1428
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.001
       
  • log–log blow up solutions blow up at exactly m points
    • Authors: Chenjie Fan
      Pages: 1429 - 1482
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.002
       
  • Singular solutions for divergence-form elliptic equations involving
           regular variation theory: Existence and classification
    • Authors: Ting-Ying Chang; Florica C. Cîrstea
      Pages: 1483 - 1506
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.12.001
       
  • 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
      Pages: 1507 - 1541
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.003
       
  • Nonlinear Beltrami operators, Schauder estimates and bounds for the
           Jacobian
    • Authors: Kari Astala; Albert Clop; Daniel Faraco; Jarmo Jääskeläinen; Aleksis Koski
      Pages: 1543 - 1559
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.008
       
  • Nonhyperbolic step skew-products: Ergodic approximation
    • Authors: L.J. Díaz; K. Gelfert; M. Rams
      Pages: 1561 - 1598
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.009
       
  • Codimension two surfaces pinched by normal curvature evolving by mean
           curvature flow
    • Authors: Charles Baker; Huy The Nguyen
      Pages: 1599 - 1610
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      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: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.010
       
  • Ground states of pseudo-relativistic boson stars under the critical
           stellar mass
    • Authors: Yujin Guo; Xiaoyu Zeng
      Pages: 1611 - 1632
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Yujin Guo, Xiaoyu Zeng
      We consider ground states of pseudo-relativistic boson stars with a self-interacting potential K ( x ) in R 3 , which can be described by minimizers of the pseudo-relativistic Hartree energy functional. Under some assumptions on K ( x ) , minimizers exist if the stellar mass N satisfies 0 < N < N ⁎ , and there is no minimizer if N > N ⁎ , where N ⁎ is called the critical stellar mass. In contrast to the case of the Coulomb-type potential where K ( x ) ≡ 1 , we prove that the existence of minimizers may occur at N = N ⁎ , depending on the local profile of K ( x ) near the origin. When there is no minimizer at N = N ⁎ , we also present a detailed analysis of the behavior of minimizers as N approaches N ⁎ from below, for which the stellar mass concentrates at a unique point.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2017.04.001
       
  • Boundary-degenerate elliptic operators and Hölder continuity for
           solutions to variational equations and inequalities
    • Authors: Paul M.N. Feehan; Camelia A. Pop
      Pages: 1075 - 1129
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Paul M.N. Feehan, Camelia A. Pop
      We prove local supremum bounds, a Harnack inequality, Hölder continuity up to the boundary, and a strong maximum principle for solutions to a variational equation defined by an elliptic operator which becomes degenerate along a portion of the domain boundary and where no boundary condition is prescribed, regardless of the sign of the Fichera function. In addition, we prove Hölder continuity up to the boundary for solutions to variational inequalities defined by this boundary-degenerate elliptic operator.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.07.005
       
  • From optimal transportation to optimal teleportation
    • Authors: Wolansky
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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, e.g., μ has a disconnected support, or the dimension d of μ (to be defined) is larger or equal to 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: 2017-12-12T14:21:38Z
       
  • Existence and non-existence of transition fronts for bistable and ignition
           reactions
    • Authors: Andrej
      Abstract: Publication date: December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 7
      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 examples in periodic media which are non-degenerate in a natural sense, and they also prove a conjecture from [7].

      PubDate: 2017-12-12T14:21:38Z
       
  • Gagliardo–Nirenberg inequalities and non-inequalities: The full
           story
    • Authors: Haïm Brezis; Petru Mironescu
      Abstract: Publication date: Available online 23 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Haïm Brezis, Petru Mironescu
      We investigate the validity of the Gagliardo–Nirenberg type inequality (1) ‖ f ‖ W s , p ( Ω ) ≲ ‖ f ‖ W s 1 , p 1 ( Ω ) θ ‖ f ‖ W s 2 , p 2 ( Ω ) 1 − θ , with Ω ⊂ R N . Here, 0 ≤ s 1 ≤ s ≤ s 2 are non negative numbers (not necessarily integers), 1 ≤ p 1 , p , p 2 ≤ ∞ , and we assume the standard relations s = θ s 1 + ( 1 − θ ) s 2 , 1 / p = θ / p 1 + ( 1 − θ ) / p 2  for some  θ ∈ ( 0 , 1 ) . By the seminal contributions of E. Gagliardo and L. Nirenberg, (1) holds when s 1 , s 2 , s are integers. It turns out that (1) holds for “most” of values of s 1 , … , p 2 , but not for all of them. We present an explicit condition on s 1 , s 2 , p 1 , p 2 which allows to decide whether (1) holds or fails.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.007
       
  • Analysis of the adiabatic piston problem via methods of continuum
           mechanics
    • Authors: Eduard Feireisl; Václav Mácha; Šárka Nečasová; Marius Tucsnak
      Abstract: Publication date: Available online 21 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Eduard Feireisl, Václav Mácha, Šárka Nečasová, Marius Tucsnak
      We consider a system modelling the motion of a piston in a cylinder filled by a viscous heat conducting gas. The piston is moving longitudinally without friction under the influence of the forces exerted by the gas. In addition, the piston is supposed to be thermally insulating (adiabatic piston). This fact raises several challenges which received a considerable attention, essentially in the statistical physics literature. We study the problem via the methods of continuum mechanics, specifically, the motion of the gas is described by means of the Navier–Stokes–Fourier system in one space dimension, coupled with Newton's second law governing the motion of the piston. We establish global in time existence of strong solutions and show that the system stabilizes to an equilibrium state for t → ∞ .

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.008
       
  • Well-posedness for mean-field evolutions arising in superconductivity
    • Authors: Mitia Duerinckx; Julian Fischer
      Abstract: Publication date: Available online 16 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Mitia Duerinckx, Julian Fischer
      We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in certain regimes in [24] as the mean-field evolution of the supercurrent density in a (2D section of a) type-II superconductor with pinning and with imposed electric current. We also consider general vortex-sheet initial data, and investigate the uniqueness and regularity properties of the solution. For some choice of parameters, the equation under investigation coincides with the so-called lake equation from 2D shallow water fluid dynamics, and our analysis then leads to a new existence result for rough initial data.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.004
       
  • Recurrence for the wind-tree model
    • Authors: A. Avila; P. Hubert
      Abstract: Publication date: Available online 15 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): A. Avila, P. Hubert
      In this paper, we give a geometric criterion ensuring the recurrence of the vertical flow on Z d -covers of compact translation surfaces ( d ≥ 2 ). We prove that the linear flow in the windtree model is recurrent for every pair of parameters and almost every direction.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.006
       
  • Initial-boundary value problems in a half-strip for two-dimensional
           Zakharov–Kuznetsov equation
    • Authors: Andrei V. Faminskii
      Abstract: Publication date: Available online 15 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Andrei V. Faminskii
      Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov–Kuznetsov equation are considered. Results on global existence, uniqueness and long-time decay of weak and regular solutions are established.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.003
       
  • Uniform convergence for the incompressible limit of a tumor growth model
    • Authors: Inwon Kim; Olga Turanova
      Abstract: Publication date: Available online 15 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Inwon Kim, Olga Turanova
      We study a model introduced by Perthame and Vauchelet [19] that describes the growth of a tumor governed by Brinkman's Law, which takes into account friction between the tumor cells. We adopt the viscosity solution approach to establish an optimal uniform convergence result of the tumor density as well as the pressure in the incompressible limit. The system lacks standard maximum principle, and thus modification of the usual approach is necessary.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.005
       
  • Divergence-free positive symmetric tensors and fluid dynamics
    • Authors: Denis Serre
      Abstract: Publication date: Available online 15 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Denis Serre
      We consider d × d tensors A ( x ) that are symmetric, positive semi-definite, and whose row-divergence vanishes identically. We establish sharp inequalities for the integral of ( det ⁡ A ) 1 d − 1 . We apply them to models of compressible inviscid fluids: Euler equations, Euler–Fourier, relativistic Euler, Boltzman, BGK, etc. We deduce an a priori estimate for a new quantity, namely the space–time integral of ρ 1 n p , where ρ is the mass density, p the pressure and n the space dimension. For kinetic models, the corresponding quantity generalizes Bony's functional.

      PubDate: 2017-12-12T14:21:38Z
      DOI: 10.1016/j.anihpc.2017.11.002
       
  • Well-posedness of the linearized Prandtl equation around a non-monotonic
           shear flow
    • Authors: Dongxiang Chen; Yuxi Wang; Zhifei Zhang
      Abstract: Publication date: Available online 14 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Dongxiang Chen, Yuxi Wang, Zhifei Zhang
      In this paper, we prove the well-posedness of the linearized Prandtl equation around a non-monotonic shear flow in Gevrey class 2 − θ for any θ > 0 . This result is almost optimal by the ill-posedness result proved by Gérard-Varet and Dormy, who construct a class of solution with the growth like e k t for the linearized Prandtl equation around a non-monotonic shear flow.

      PubDate: 2017-11-15T21:39:47Z
      DOI: 10.1016/j.anihpc.2017.11.001
       
  • On the dual formulation of obstacle problems for the total variation and
           the area functional
    • Authors: Christoph Scheven; Thomas Schmidt
      Abstract: Publication date: Available online 14 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Christoph Scheven, Thomas Schmidt
      We investigate the Dirichlet minimization problem for the total variation and the area functional with a one-sided obstacle. Relying on techniques of convex analysis, we identify certain dual maximization problems for bounded divergence-measure fields, and we establish duality formulas and pointwise relations between (generalized) BV minimizers and dual maximizers. As a particular case, these considerations yield a full characterization of BV minimizers in terms of Euler equations with a measure datum. Notably, our results apply to very general obstacles such as BV obstacles, thin obstacles, and boundary obstacles, and they include information on exceptional sets and up to the boundary. As a side benefit, in some cases we also obtain assertions on the limit behavior of p-Laplace type obstacle problems for p ↘ 1 . On the technical side, the statements and proofs of our results crucially depend on new versions of Anzellotti type pairings which involve general divergence-measure fields and specific representatives of BV functions. In addition, in the proofs we employ several fine results on (BV) capacities and one-sided approximation.

      PubDate: 2017-11-15T21:39:47Z
      DOI: 10.1016/j.anihpc.2017.10.003
       
  • The Cahn–Hilliard–Hele–Shaw system with singular
           potential
    • Authors: Andrea Giorgini; Maurizio Grasselli Hao
      Abstract: Publication date: Available online 6 November 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Andrea Giorgini, Maurizio Grasselli, Hao Wu
      The Cahn–Hilliard–Hele–Shaw system is a fundamental diffuse-interface model for an incompressible binary fluid confined in a Hele–Shaw cell. It consists of a convective Cahn–Hilliard equation in which the velocity u is subject to a Korteweg force through Darcy's equation. In this paper, we aim to investigate the system with a physically relevant potential (i.e., of logarithmic type). This choice ensures that the (relative) concentration difference φ takes values within the admissible range. To the best of our knowledge, essentially all the available contributions in the literature are concerned with a regular approximation of the singular potential. Here we first prove the existence of a global weak solution with finite energy that satisfies an energy dissipative property. Then, in dimension two, we further obtain the uniqueness and regularity of global weak solutions. In particular, we show that any two-dimensional weak solution satisfies the so-called strict separation property, namely, if φ is not a pure state at some initial time, then it stays instantaneously away from the pure states. When the spatial dimension is three, we prove the existence of a unique global strong solution, provided that the initial datum is regular enough and sufficiently close to any local minimizer of the free energy. This also yields the local Lyapunov stability of the local minimizer itself. Finally, we prove that under suitable assumptions any global solution converges to a single equilibrium as time goes to infinity.

      PubDate: 2017-11-08T18:43:04Z
       
  • A Calabi theorem for solutions to the parabolic Monge-Ampère equation
           with periodic data
    • Authors: Wei Zhang; Jiguang Bao
      Abstract: Publication date: Available online 20 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Wei Zhang, Jiguang Bao
      We classify all solutions to − u t det ⁡ D 2 u = f ( x )  in  R − n + 1 , where f ∈ C α ( R n ) is a positive periodic function in x. More precisely, if u is a parabolically convex solution to above equation, then u is the sum of a convex quadratic polynomial in x, a periodic function in x and a linear function of t. It can be viewed as a generalization of the work of Gutiérrez and Huang in 1998. And along the line of approach in this paper, we can treat other parabolic Monge-Ampère equations.

      PubDate: 2017-10-25T18:30:09Z
      DOI: 10.1016/j.anihpc.2017.09.007
       
  • Spatially discrete reaction-diffusion equations with discontinuous
           hysteresis
    • Authors: Pavel Gurevich; Sergey Tikhomirov
      Abstract: Publication date: Available online 20 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Pavel Gurevich, Sergey Tikhomirov
      We address the question: Why may reaction-diffusion equations with hysteretic nonlinearities become ill-posed and how to amend this' To do so, we discretize the spatial variable and obtain a lattice dynamical system with a hysteretic nonlinearity. We analyze a new mechanism that leads to appearance of a spatio-temporal pattern called rattling: the solution exhibits a propagation phenomenon different from the classical traveling wave, while the hysteretic nonlinearity, loosely speaking, takes a different value at every second spatial point, independently of the grid size. Such a dynamics indicates how one should redefine hysteresis to make the continuous problem well-posed and how the solution will then behave. In the present paper, we develop main tools for the analysis of the spatially discrete model and apply them to a prototype case. In particular, we prove that the propagation velocity is of order a t − 1 / 2 as t → ∞ and explicitly find the rate a.

      PubDate: 2017-10-25T18:30:09Z
      DOI: 10.1016/j.anihpc.2017.09.006
       
  • Existence of discretely self-similar solutions to the Navier-Stokes
           equations for initial value in Lloc2(R3)
    • Authors: Dongho Chae; Jörg Wolf
      Abstract: Publication date: Available online 18 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Dongho Chae, Jörg Wolf
      We prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in R 3 × ( 0 , + ∞ ) for a discretely self-similar initial velocity belonging to L l o c 2 ( R 3 ) .

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2017.10.001
       
  • Correction and addendum to “Boundary regularity of minimizers of
           p(x)-energy functionals” [Ann. Inst. Henri Poincaré, Anal. Non
           Linéaire 33 (2) (2016) 451–476]
    • Authors: Maria Alessandra Ragusa; Atsushi Tachikawa
      Abstract: Publication date: Available online 6 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Maria Alessandra Ragusa, Atsushi Tachikawa
      In the paper [1] “Boundary regularity of minimizers of p ( x ) -energy functionals”, some modifications are needed. 1. The exponent p 2 = p 2 ( 2 R ) in the statement of Theorem 2.6 should be p 2 ( ρ ) . According to this correction, we should modify the proof of Theorem 3.2. 2. In Theorem 1.1, the domain Ω is assumed to have the Lipschitz boundary ∂Ω. However, we need to assume that ∂Ω is in the class C 1 .

      PubDate: 2017-10-11T15:26:17Z
      DOI: 10.1016/j.anihpc.2017.09.004
       
  • Long time asymptotic behavior of the focusing nonlinear Schrödinger
           equation
    • Authors: Michael Borghese; Robert Jenkins; Kenneth D.T.-R. McLaughlin
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Michael Borghese, Robert Jenkins, Kenneth D.T.-R. McLaughlin
      We study the Cauchy problem for the focusing nonlinear Schrödinger (fNLS) equation. Using the Image 2 generalization of the nonlinear steepest descent method we compute the long-time asymptotic expansion of the solution ψ ( x , t ) in any fixed space-time cone C ( x 1 , x 2 , v 1 , v 2 ) = { ( x , t ) ∈ R 2 : x = x 0 + v t  with  x 0 ∈ [ x 1 , x 2 ] , v ∈ [ v 1 , v 2 ] } up to an (optimal) residual error of order O ( t − 3 / 4 ) . In each cone C the leading order term in this expansion is a multi-soliton whose parameters are modulated by soliton-soliton and soliton-radiation interactions as one moves through the cone. Our results require that the initial data possess one L 2 ( R ) moment and (weak) derivative and that it not generate any spectral singularities.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.08.006
       
  • On a free boundary problem and minimal surfaces
    • Authors: Yong Liu; Kelei Wang; Juncheng Wei
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Yong Liu, Kelei Wang, Juncheng Wei
      From minimal surfaces such as Simons' cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two components. In dimension 8, using variational arguments, we also obtain solutions which are global minimizers of the corresponding energy functional. This shows that Savin's theorem [43] is optimal.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.09.005
       
  • Dini estimates for nonlocal fully nonlinear elliptic equations
    • Authors: Hongjie Dong; Hong Zhang
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Hongjie Dong, Hong Zhang
      We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order σ ∈ ( 0 , 2 ) with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined C σ + α estimate in [9].

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.09.003
       
  • Comparison of the Calabi and Mabuchi geometries and applications to
           geometric flows
    • Authors: Darvas
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Tamás Darvas
      Suppose ( X , ω ) is a compact Kähler manifold. We introduce and explore the metric geometry of the L p , q -Calabi Finsler structure on the space of Kähler metrics H . After noticing that the L p , q -Calabi and L p ′ -Mabuchi path length topologies on H do not typically dominate each other, we focus on the finite entropy space E Ent , contained in the intersection of the L p -Calabi and L 1 -Mabuchi completions of H and find that after a natural strengthening, the L p -Calabi and L 1 -Mabuchi topologies coincide on E Ent . As applications to our results, we give new convergence results for the Kähler–Ricci flow and the weak Calabi flow.

      PubDate: 2017-10-03T13:03:15Z
       
  • Wσ,ϵ-estimates for nonlocal elliptic equations
    • Authors: Hui
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Hui Yu
      We prove a W σ , ϵ -estimate for a class of nonlocal fully nonlinear elliptic equations by following Fanghua Lin's original approach [8] to the analogous problem for second order elliptic equations, by first proving a potential estimate, then combining this estimate with the ABP-type estimate by N. Guillen and R. Schwab to control the size of the superlevel sets of the σ-order derivatives of solutions.

      PubDate: 2017-10-03T13:03:15Z
       
  • Decay rate of iterated integrals of branched rough paths
    • Authors: Horatio Boedihardjo
      Abstract: Publication date: Available online 22 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Horatio Boedihardjo
      Iterated integrals of paths arise frequently in the study of the Taylor's expansion for controlled differential equations. We will prove a factorial decay estimate, conjectured by M. Gubinelli, for the iterated integrals of non-geometric rough paths. We will explain, with a counter example, why the conventional approach of using the neoclassical inequality fails. Our proof involves a concavity estimate for sums over rooted trees and a non-trivial extension of T. Lyons' proof in 1994 for the factorial decay of iterated Young's integrals.

      PubDate: 2017-09-26T04:21:17Z
      DOI: 10.1016/j.anihpc.2017.09.002
       
  • Singular integrals and a problem on mixing flows
    • Authors: Mahir Hadžić; Andreas Seeger; Charles K. Smart; Brian Street
      Abstract: Publication date: Available online 22 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Mahir Hadžić, Andreas Seeger, Charles K. Smart, Brian Street
      We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which we prove bounds on Hardy spaces. We include additional observations about the approach and a discrete toy version of Bressan's problem.

      PubDate: 2017-09-26T04:21:17Z
      DOI: 10.1016/j.anihpc.2017.09.001
       
  • On the asymptotic growth of positive solutions to a nonlocal elliptic
           blow-up system involving strong competition
    • Authors: Susanna Terracini; Stefano Vita
      Abstract: Publication date: Available online 12 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Susanna Terracini, Stefano Vita
      For a competition-diffusion system involving the fractional Laplacian of the form − ( − Δ ) s u = u v 2 , − ( − Δ ) s v = v u 2 , u , v > 0 in R N , with s ∈ ( 0 , 1 ) , we prove that the maximal asymptotic growth rate for its entire solutions is 2s. Moreover, since we are able to construct symmetric solutions to the problem, when N = 2 with prescribed growth arbitrarily close to the critical one, we can conclude that the asymptotic bound found is optimal. Finally, we prove existence of genuinely higher dimensional solutions, when N ≥ 3 . Such problems arise, for example, as blow-ups of fractional reaction-diffusion systems when the interspecific competition rate tends to infinity.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.08.004
       
  • Boundary observability of gravity water waves
    • Authors: Thomas Alazard
      Abstract: Publication date: Available online 12 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Thomas Alazard
      Consider a three-dimensional fluid in a rectangular tank, bounded by a flat bottom, vertical walls and a free surface evolving under the influence of gravity. We prove that one can estimate its energy by looking only at the motion of the points of contact between the free surface and the vertical walls. The proof relies on the multiplier technique, the Craig-Sulem-Zakharov formulation of the water-wave problem, a Pohozaev identity for the Dirichlet to Neumann operator, previous results about the Cauchy problem and computations inspired by the analysis done by Benjamin and Olver of the conservation laws for water waves.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.07.006
       
  • Martingale-coboundary decomposition for families of dynamical systems
    • Authors: A. Korepanov; Z. Kosloff; I. Melbourne
      Abstract: Publication date: Available online 8 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): A. Korepanov, Z. Kosloff, I. Melbourne
      We prove statistical limit laws for sequences of Birkhoff sums of the type ∑ j = 0 n − 1 v n ∘ T n j where T n is a family of nonuniformly hyperbolic transformations. The key ingredient is a new martingale-coboundary decomposition for nonuniformly hyperbolic transformations which is useful already in the case when the family T n is replaced by a fixed transformation T, and which is particularly effective in the case when T n varies with n. In addition to uniformly expanding/hyperbolic dynamical systems, our results include cases where the family T n consists of intermittent maps, unimodal maps (along the Collet-Eckmann parameters), Viana maps, and externally forced dispersing billiards. As an application, we prove a homogenization result for discrete fast-slow systems where the fast dynamics is generated by a family of nonuniformly hyperbolic transformations.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.08.005
       
  • Resolvent and spectral measure on non-trapping asymptotically hyperbolic
           manifolds III: Global-in-time Strichartz estimates without loss
    • Authors: Chen
      Abstract: Publication date: Available online 5 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Xi Chen
      In the present paper, we investigate global-in-time Strichartz estimates without loss on non-trapping asymptotically hyperbolic manifolds. Due to the hyperbolic nature of such manifolds, the set of admissible pairs for Strichartz estimates is much larger than usual. These results generalize the works on hyperbolic space due to Anker-Pierfelice and Ionescu-Staffilani. However, our approach is to employ the spectral measure estimates, obtained in the author's joint work with Hassell, to establish the dispersive estimates for truncated / microlocalized Schrödinger propagators as well as the corresponding energy estimates. Compared with hyperbolic space, the crucial point here is to cope with the conjugate points on the manifold. Additionally, these Strichartz estimates are applied to the L 2 well-posedness and L 2 scattering for nonlinear Schrödinger equations with power-like nonlinearity and small Cauchy data.

      PubDate: 2017-09-07T15:39:33Z
       
  • A classification result for the quasi-linear Liouville equation
    • Authors: Pierpaolo Esposito
      Abstract: Publication date: Available online 5 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Pierpaolo Esposito
      Entire solutions of the n−Laplace Liouville equation in R n with finite mass are completely classified.

      PubDate: 2017-09-07T15:39:33Z
      DOI: 10.1016/j.anihpc.2017.08.002
       
 
 
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