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PHYSICS (581 journals)                  1 2 3 | Last

Showing 1 - 200 of 741 Journals sorted alphabetically
Acta Acustica united with Acustica     Full-text available via subscription   (Followers: 6)
Acta Mechanica     Hybrid Journal   (Followers: 18)
Acta Scientifica Naturalis     Open Access   (Followers: 1)
Advanced Composite Materials     Hybrid Journal   (Followers: 60)
Advanced Functional Materials     Hybrid Journal   (Followers: 45)
Advanced Materials     Hybrid Journal   (Followers: 222)
Advanced Science Focus     Free   (Followers: 3)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
Advances in Condensed Matter Physics     Open Access   (Followers: 8)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Geophysics     Full-text available via subscription   (Followers: 6)
Advances in High Energy Physics     Open Access   (Followers: 21)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 16)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 28)
Advances in OptoElectronics     Open Access   (Followers: 5)
Advances In Physics     Hybrid Journal   (Followers: 18)
Advances in Physics : X     Open Access  
Advances in Physics Theories and Applications     Open Access   (Followers: 13)
Advances in Remote Sensing     Open Access   (Followers: 34)
AIP Advances     Open Access   (Followers: 9)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 3)
American Journal of Condensed Matter Physics     Open Access   (Followers: 4)
American Journal of Signal Processing     Open Access   (Followers: 10)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Annalen der Physik     Hybrid Journal   (Followers: 5)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 15)
Annales Henri Poincaré     Hybrid Journal   (Followers: 3)
Annales UMCS, Physica     Open Access  
Annals of Nuclear Medicine     Hybrid Journal   (Followers: 5)
Annals of Physics     Hybrid Journal   (Followers: 4)
Annals of West University of Timisoara - Physics     Open Access   (Followers: 1)
Annual Reports on NMR Spectroscopy     Full-text available via subscription   (Followers: 3)
Annual Review of Analytical Chemistry     Full-text available via subscription   (Followers: 9)
Annual Review of Condensed Matter Physics     Full-text available via subscription  
Annual Review of Materials Research     Full-text available via subscription   (Followers: 5)
APL Materials     Open Access   (Followers: 10)
Applied Composite Materials     Hybrid Journal   (Followers: 44)
Applied Physics A     Hybrid Journal   (Followers: 8)
Applied Physics Frontier     Open Access   (Followers: 1)
Applied Physics Letters     Hybrid Journal   (Followers: 33)
Applied Physics Research     Open Access   (Followers: 4)
Applied Physics Reviews     Hybrid Journal   (Followers: 9)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 6)
Applied Remote Sensing Journal     Open Access   (Followers: 33)
Applied Spectroscopy     Full-text available via subscription   (Followers: 23)
Applied Spectroscopy Reviews     Hybrid Journal   (Followers: 5)
Archive for Rational Mechanics and Analysis     Hybrid Journal  
Asia Pacific Physics Newsletter     Hybrid Journal  
ASTRA Proceedings     Open Access  
Astronomy & Geophysics     Hybrid Journal   (Followers: 46)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 20)
Astrophysical Journal Supplement Series     Full-text available via subscription   (Followers: 6)
Atoms     Open Access  
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 9)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 7)
Axioms     Open Access  
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 2)
Berkala Fisika Indonesia     Open Access  
Biomaterials     Hybrid Journal   (Followers: 44)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 16)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 30)
Biophysical Reviews     Hybrid Journal  
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 3)
BMC Biophysics     Open Access   (Followers: 5)
Boson Journal of Modern Physics     Open Access   (Followers: 12)
Brazilian Journal of Physics     Hybrid Journal  
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 9)
Bulletin of Materials Science     Open Access   (Followers: 41)
Bulletin of the Atomic Scientists     Full-text available via subscription   (Followers: 3)
Bulletin of the Lebedev Physics Institute     Hybrid Journal   (Followers: 1)
Bulletin of the Russian Academy of Sciences: Physics     Hybrid Journal  
Caderno Brasileiro de Ensino de Física     Open Access  
Canadian Journal of Physics     Full-text available via subscription   (Followers: 14)
Case Studies in Nondestructive Testing and Evaluation     Open Access   (Followers: 8)
Cells     Open Access   (Followers: 1)
CERN courier. International journal of high energy physics     Free   (Followers: 7)
Chemical Physics of Solid Surfaces     Full-text available via subscription  
Chinese Journal of Astronomy and Astrophysics     Full-text available via subscription   (Followers: 13)
Chinese Journal of Chemical Physics     Hybrid Journal   (Followers: 1)
Chinese Journal of Physics     Hybrid Journal  
Chinese Physics B     Full-text available via subscription  
Chinese Physics C     Full-text available via subscription  
Chinese Physics Letters     Full-text available via subscription  
Cogent Physics     Open Access  
Cohesion and Structure     Full-text available via subscription   (Followers: 2)
Colloid Journal     Hybrid Journal   (Followers: 2)
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Communications in Theoretical Physics     Full-text available via subscription   (Followers: 2)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 163)
Composites Part B : Engineering     Hybrid Journal   (Followers: 208)
Computational Astrophysics and Cosmology     Open Access  
Computational Condensed Matter     Open Access  
Computational Materials Science     Hybrid Journal   (Followers: 21)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 1)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Contemporary Concepts of Condensed Matter Science     Full-text available via subscription  
Contemporary Physics     Hybrid Journal   (Followers: 27)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 6)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
COSPAR Colloquia Series     Full-text available via subscription   (Followers: 6)
Cryogenics     Hybrid Journal   (Followers: 45)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 46)
Diagnostic and Interventional Imaging     Full-text available via subscription  
Diamond and Related Materials     Hybrid Journal   (Followers: 11)
Doklady Physics     Hybrid Journal   (Followers: 1)
Dynamical Properties of Solids     Full-text available via subscription  
ECS Journal of Solid State Science and Technology     Full-text available via subscription   (Followers: 3)
EDUSAINS     Open Access  
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 19)
EJNMMI Physics     Open Access  
Electrospinning     Open Access  
Embedded Systems Letters, IEEE     Hybrid Journal   (Followers: 39)
Energy Procedia     Open Access   (Followers: 2)
Engineering Failure Analysis     Hybrid Journal   (Followers: 64)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 22)
Environmental Fluid Mechanics     Hybrid Journal   (Followers: 3)
EPJ Nonlinear Biomedical Physics     Open Access  
EPJ Quantum Technology     Open Access  
EPJ Techniques and Instrumentation     Full-text available via subscription  
EPJ Web of Conferences     Open Access  
European Journal of Physics     Full-text available via subscription   (Followers: 19)
European Journal of Physics Education     Open Access   (Followers: 3)
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 16)
European Physical Journal C     Hybrid Journal   (Followers: 1)
Europhysics News     Open Access  
Experimental Mechanics     Hybrid Journal   (Followers: 21)
Experimental Methods in the Physical Sciences     Full-text available via subscription  
Experimental Techniques     Hybrid Journal   (Followers: 56)
Exploration Geophysics     Hybrid Journal   (Followers: 4)
Few-Body Systems     Hybrid Journal  
Fire and Materials     Hybrid Journal   (Followers: 5)
Flexible Services and Manufacturing Journal     Hybrid Journal   (Followers: 1)
Fluctuation and Noise Letters     Hybrid Journal   (Followers: 1)
Fluid Dynamics     Hybrid Journal   (Followers: 10)
Fortschritte der Physik/Progress of Physics     Hybrid Journal  
Frontiers in Physics     Open Access   (Followers: 6)
Frontiers of Materials Science     Hybrid Journal   (Followers: 3)
Frontiers of Physics     Hybrid Journal   (Followers: 2)
Fusion Engineering and Design     Hybrid Journal   (Followers: 10)
Geochemistry, Geophysics, Geosystems     Full-text available via subscription   (Followers: 25)
Geografiska Annaler, Series A: Physical Geography     Hybrid Journal   (Followers: 3)
Geophysical Research Letters     Full-text available via subscription   (Followers: 101)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 119)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 4)
Global Journal of Physics     Open Access   (Followers: 1)
Granular Matter     Hybrid Journal   (Followers: 1)
Graphs and Combinatorics     Hybrid Journal   (Followers: 6)
Gravitation and Cosmology     Hybrid Journal   (Followers: 3)
Handbook of Geophysical Exploration: Seismic Exploration     Full-text available via subscription  
Handbook of Metal Physics     Full-text available via subscription  
Handbook of Surface Science     Full-text available via subscription   (Followers: 2)
Handbook of Thermal Analysis and Calorimetry     Full-text available via subscription  
Haptics, IEEE Transactions on     Hybrid Journal   (Followers: 3)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 9)
High Energy Density Physics     Hybrid Journal   (Followers: 2)
High Pressure Research: An International Journal     Hybrid Journal   (Followers: 3)
IEEE Journal of Quantum Electronics     Hybrid Journal   (Followers: 20)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 61)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
Il Colle di Galileo     Open Access  
Imaging Science Journal     Hybrid Journal   (Followers: 2)
Indian Journal of Biochemistry and Biophysics (IJBB)     Open Access   (Followers: 3)
Indian Journal of Physics     Hybrid Journal   (Followers: 20)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 38)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 35)
Industrial Electronics, IEEE Transactions on     Hybrid Journal   (Followers: 28)
Industry Applications, IEEE Transactions on     Hybrid Journal   (Followers: 6)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal  
InfraMatics     Open Access  
Infrared Physics & Technology     Hybrid Journal   (Followers: 10)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 8)
Intermetallics     Hybrid Journal   (Followers: 21)
International Applied Mechanics     Hybrid Journal   (Followers: 3)
International Geophysics     Full-text available via subscription   (Followers: 3)
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 3)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 10)
International Journal for Ion Mobility Spectrometry     Hybrid Journal   (Followers: 1)
International Journal for Simulation and Multidisciplinary Design Optimization     Open Access   (Followers: 3)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Aeroacoustics     Hybrid Journal   (Followers: 27)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 4)
International Journal of Astronomy and Astrophysics     Open Access   (Followers: 21)
International Journal of Computational Materials Science and Surface Engineering     Hybrid Journal   (Followers: 6)
International Journal of Damage Mechanics     Hybrid Journal   (Followers: 5)
International Journal of Fatigue     Hybrid Journal   (Followers: 33)
International Journal of Fracture     Hybrid Journal   (Followers: 11)
International Journal of Geometric Methods in Modern Physics     Hybrid Journal   (Followers: 2)
International Journal of Geophysics     Open Access   (Followers: 5)
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 31)
International Journal of Low Radiation     Hybrid Journal  
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mass Spectrometry     Hybrid Journal   (Followers: 15)
International Journal of Material Forming     Hybrid Journal  

        1 2 3 | Last

Journal Cover Archive for Rational Mechanics and Analysis
  [SJR: 4.091]   [H-I: 66]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1432-0673 - ISSN (Online) 0003-9527
   Published by Springer-Verlag Homepage  [2335 journals]
  • Finite Time Blowup for Parabolic Systems in Two Dimensions
    • Authors: Connor Mooney
      Pages: 1039 - 1055
      Abstract: Abstract We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1052-5
      Issue No: Vol. 223, No. 3 (2017)
  • Absence of Shocks for One Dimensional Euler–Poisson System
    • Authors: Yan Guo; Lijia Han; Jingjun Zhang
      Pages: 1057 - 1121
      Abstract: Abstract It is shown that smooth solutions with small amplitude to the one dimensional Euler–Poisson system for electrons persist forever with no shock formation.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1053-4
      Issue No: Vol. 223, No. 3 (2017)
  • Area Minimizing Discs in Metric Spaces
    • Authors: Alexander Lytchak; Stefan Wenger
      Pages: 1123 - 1182
      Abstract: Abstract We solve the classical problem of Plateau in the setting of proper metric spaces. Precisely, we prove that among all disc-type surfaces with prescribed Jordan boundary in a proper metric space there exists an area minimizing disc which moreover has a quasi-conformal parametrization. If the space supports a local quadratic isoperimetric inequality for curves we prove that such a solution is locally Hölder continuous in the interior and continuous up to the boundary. Our results generalize corresponding results of Douglas Radò and Morrey from the setting of Euclidean space and Riemannian manifolds to that of proper metric spaces.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1054-3
      Issue No: Vol. 223, No. 3 (2017)
  • On the Wave Equation with Hyperbolic Dynamical Boundary Conditions,
           Interior and Boundary Damping and Source
    • Authors: Enzo Vitillaro
      Pages: 1183 - 1237
      Abstract: Abstract The aim of this paper is to study the problem $$\left\{\begin{array}{ll} u_{tt}-\Delta u+P(x,u_t)=f(x,u) \quad & {\rm in} \, (0,\infty)\times\Omega, \\ u=0 & {\rm on} \, (0,\infty)\times \Gamma_0, \\ u_{tt}+\partial_\nu u-\Delta_\Gamma u+Q(x,u_t)=g(x,u)\quad & {\rm on} \, (0,\infty)\times \Gamma_1,\\ u(0,x)=u_0(x),\quad u_t(0,x)=u_1(x) & {\rm in} \, \overline \Omega, \end{array}\right.$$ where \({\Omega}\) is a open bounded subset of \({{\mathbb R}^N}\) with C 1 boundary ( \({N \ge 2}\) ), \({\Gamma = \partial\Omega}\) , \({(\Gamma_{0},\Gamma_{1})}\) is a measurable partition of \({\Gamma}\) , \({\Delta_{\Gamma}}\) denotes the Laplace–Beltrami operator on \({\Gamma}\) , \({\nu}\) is the outward normal to \({\Omega}\) , and the terms P and Q represent nonlinear damping terms, while f and g are nonlinear subcritical perturbations. In the paper a local Hadamard well-posedness result for initial data in the natural energy space associated to the problem is given. Moreover, when \({\Omega}\) is C 2 and \({\overline{\Gamma_{0}} \cap \overline{\Gamma_{1}} = \emptyset}\) , the regularity of solutions is studied. Next a blow-up theorem is given when P and Q are linear and f and g are superlinear sources. Finally a dynamical system is generated when the source parts of f and g are at most linear at infinity, or they are dominated by the damping terms.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1055-2
      Issue No: Vol. 223, No. 3 (2017)
  • Generalized Transition Fronts for One-Dimensional Almost Periodic
           Fisher-KPP Equations
    • Authors: Grégoire Nadin; Luca Rossi
      Pages: 1239 - 1267
      Abstract: Abstract This paper investigates the existence of generalized transition fronts for Fisher-KPP equations in one-dimensional, almost periodic media. Assuming that the linearized elliptic operator near the unstable steady state admits an almost periodic eigenfunction, we show that such fronts exist if and only if their average speed is above an explicit threshold. This hypothesis is satisfied in particular when the reaction term does not depend on x or (in some cases) is small enough. Moreover, except for the threshold case, the fronts we construct and their speeds are almost periodic, in a sense. When our hypothesis is no longer satisfied, such generalized transition fronts still exist for an interval of average speeds, with explicit bounds. Our proof relies on the construction of sub and super solutions based on an accurate analysis of the properties of the generalized principal eigenvalues.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1056-1
      Issue No: Vol. 223, No. 3 (2017)
  • Scattering Parabolic Solutions for the Spatial N -Centre Problem
    • Authors: Alberto Boscaggin; Walter Dambrosio; Susanna Terracini
      Pages: 1269 - 1306
      Abstract: Abstract For the N-centre problem in the three dimensional space, $${\ddot{x}} = -\sum_{i=1}^{N} \frac{m_i \,(x-c_i)}{\vert x - c_i \vert^{\alpha+2}}, \qquad x \in {\mathbb{R}}^3 {\setminus} \{c_1,\ldots,c_N\},$$ where \({N \geqq 2}\) , \({m_i > 0}\) and \({\alpha \in [1,2)}\) , we prove the existence of entire parabolic trajectories having prescribed asymptotic directions. The proof relies on a variational argument of min–max type. Morse index estimates and regularization techniques are used in order to rule out the possible occurrence of collisions.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1057-0
      Issue No: Vol. 223, No. 3 (2017)
  • Small Moving Rigid Body into a Viscous Incompressible Fluid
    • Authors: Christophe Lacave; Takéo Takahashi
      Pages: 1307 - 1335
      Abstract: Abstract We consider a single disk moving under the influence of a two dimensional viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is independent of \({\varepsilon}\) , the energy equality is not sufficient to obtain a uniform estimate for the solid velocity. This will be achieved thanks to the optimal L p −L q decay estimates of the semigroup associated to the fluid-rigid body system and to a fixed point argument. Next, we will deduce the convergence to the solution of the Navier–Stokes equations in \({\mathbb{R}^{2}}\) .
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1058-z
      Issue No: Vol. 223, No. 3 (2017)
  • Integral Representation for Functionals Defined on SBD p in Dimension Two
    • Authors: Sergio Conti; Matteo Focardi; Flaviana Iurlano
      Pages: 1337 - 1374
      Abstract: Abstract We prove an integral representation result for functionals with growth conditions which give coercivity on the space \({SBD^p(\Omega)}\) , for \({\Omega\subset\mathbb{R}^{2}}\) , which is a bounded open Lipschitz set, and \({p\in(1,\infty)}\) . The space SBD p of functions whose distributional strain is the sum of an L p part and a bounded measure supported on a set of finite \({\mathcal{H}^{1}}\) -dimensional measure appears naturally in the study of fracture and damage models. Our result is based on the construction of a local approximation by W 1,p functions. We also obtain a generalization of Korn’s inequality in the SBD p setting.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1059-y
      Issue No: Vol. 223, No. 3 (2017)
  • Regularity and Energy Conservation for the Compressible Euler Equations
    • Authors: Eduard Feireisl; Piotr Gwiazda; Agnieszka Świerczewska-Gwiazda; Emil Wiedemann
      Pages: 1375 - 1395
      Abstract: Abstract We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator estimates similar to those employed by Constantin et al. for the homogeneous incompressible Euler equations.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1060-5
      Issue No: Vol. 223, No. 3 (2017)
  • Emergent Dynamics of a Thermodynamically Consistent Particle Model
    • Authors: Seung-Yeal Ha; Tommaso Ruggeri
      Pages: 1397 - 1425
      Abstract: Abstract We present a thermodynamically consistent particle (TCP) model motivated by the theory of multi-temperature mixture of fluids in the case of spatially homogeneous processes. The proposed model incorporates the Cucker-Smale (C-S) type flocking model as its isothermal approximation. However, it is more complex than the C-S model, because the mutual interactions are not only “mechanical” but are also affected by the “temperature effect” as individual particles may exhibit distinct internal energies. We develop a framework for asymptotic weak and strong flocking in the context of the proposed model.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1062-3
      Issue No: Vol. 223, No. 3 (2017)
  • Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in
           Gas Dynamics
    • Authors: Jan Giesselmann; Corrado Lattanzio; Athanasios E. Tzavaras
      Pages: 1427 - 1484
      Abstract: Abstract We consider a Euler system with dynamics generated by a potential energy functional. We propose a form for the relative energy that exploits the variational structure and we derive a relative energy identity. When applied to specific energies, this yields relative energy identities for the Euler–Korteweg, the Euler–Poisson, the Quantum Hydrodynamics system, and low order approximations of the Euler–Korteweg system. For the Euler–Korteweg system we prove a stability theorem between a weak and a strong solution and an associated weak-strong uniqueness theorem. In the second part we focus on the Navier–Stokes–Korteweg system (NSK) with non-monotone pressure laws, and prove stability for the NSK system via a modified relative energy approach. We prove the continuous dependence of solutions on initial data and the convergence of solutions of a low order model to solutions of the NSK system. The last two results provide physically meaningful examples of how higher order regularization terms enable the use of the relative energy framework for models with energies which are not poly- or quasi-convex, compensated by higher-order gradients.
      PubDate: 2017-03-01
      DOI: 10.1007/s00205-016-1063-2
      Issue No: Vol. 223, No. 3 (2017)
  • Line Defects in the Small Elastic Constant Limit of a Three-Dimensional
           Landau-de Gennes Model
    • Authors: Giacomo Canevari
      Pages: 591 - 676
      Abstract: Abstract We consider the Landau-de Gennes variational model for nematic liquid crystals, in three-dimensional domains. More precisely, we study the asymptotic behaviour of minimizers as the elastic constant tends to zero, under the assumption that minimizers are uniformly bounded and their energy blows up as the logarithm of the elastic constant. We show that there exists a closed set \({\mathscr{S}_{\rm line}}\) of finite length, such that minimizers converge to a locally harmonic map away from \({\mathscr{S}_{\rm line}}\) . Moreover, \({\mathscr{S}_{\rm line}}\) restricted to the interior of the domain is a locally finite union of straight line segments. We provide sufficient conditions, depending on the domain and the boundary data, under which our main results apply. We also discuss some examples.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1040-9
      Issue No: Vol. 223, No. 2 (2017)
  • Phase Field Models for Thin Elastic Structures with Topological Constraint
    • Authors: Patrick W. Dondl; Antoine Lemenant; Stephan Wojtowytsch
      Pages: 693 - 736
      Abstract: Abstract This article is concerned with the problem of minimising the Willmore energy in the class of connected surfaces with prescribed area which are confined to a small container. We propose a phase field approximation based on De Giorgi’s diffuse Willmore functional to this variational problem. Our main contribution is a penalisation term which ensures connectedness in the sharp interface limit. The penalisation of disconnectedness is based on a geodesic distance chosen to be small between two points that lie on the same connected component of the transition layer of the phase field. We prove that in two dimensions, sequences of phase fields with uniformly bounded diffuse Willmore energy and diffuse area converge uniformly to the zeros of a double-well potential away from the support of a limiting measure. In three dimensions, we show that they converge \({\mathcal{H}^1}\) -almost everywhere on curves. This enables us to show \({\Gamma}\) -convergence to a sharp interface problem that only allows for connected structures. The results also imply Hausdorff convergence of the level sets in two dimensions and a similar result in three dimensions. Furthermore, we present numerical evidence of the effectiveness of our model. The implementation relies on a coupling of Dijkstra’s algorithm in order to compute the topological penalty to a finite element approach for the Willmore term.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1043-6
      Issue No: Vol. 223, No. 2 (2017)
  • Unbounded Periodic Solutions to Serrin’s Overdetermined Boundary
           Value Problem
    • Authors: Mouhamed Moustapha Fall; Ignace Aristide Minlend; Tobias Weth
      Pages: 737 - 759
      Abstract: Abstract We study the existence of nontrivial unbounded domains \({\Omega}\) in \({{\mathbb R}^{N}}\) such that the overdetermined problem $${-\Delta u = 1 \quad {\rm in} \, \Omega}, \quad u = 0, \quad \partial_{\nu} u = {\rm const} \quad {\rm on} \partial \Omega$$ admits a solution u. By this, we complement Serrin’s classification result from 1971, which yields that every bounded domain admitting a solution of the above problem is a ball in \({{\mathbb R}^{N}}\) . The domains we construct are periodic in some variables and radial in the other variables, and they bifurcate from a straight (generalized) cylinder or slab. We also show that these domains are uniquely self Cheeger relative to a period cell for the problem.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1044-5
      Issue No: Vol. 223, No. 2 (2017)
  • Global Axisymmetric Solutions of Three Dimensional Inhomogeneous
           Incompressible Navier–Stokes System with Nonzero Swirl
    • Authors: Hui Chen; Daoyuan Fang; Ting Zhang
      Pages: 817 - 843
      Abstract: Abstract In this paper, we investigate the global well-posedness for the three dimensional inhomogeneous incompressible Navier–Stokes system with axisymmetric initial data. We obtain the global existence and uniqueness of the axisymmetric solution provided that $$\left\ \frac{a_{0}}{r}\right\ _{\infty} {\rm and}\ u_{0}^{\theta}\ _{3} {\rm are sufficiently small}.$$ Furthermore, if \({u_0 \in L^{1}}\) and \({ru^{\theta}_{0}\in L^{1} \cap L^{2}}\) , we have the decay estimate $$\begin{aligned} \ u^{\theta}(t)\ _{2}^{2} + \langle t \rangle \ \nabla(u^{\theta}e_{\theta})(t)\ _{2}^{2} + t\langle t \rangle(\ u_{t}^{\theta}(t)\ _{2}^{2} + \ \Delta(u^{\theta}e_{\theta})(t)\ _{2}^{2}) \leqq C \langle t\rangle^{-\frac{5}{2}}, \\ \quad \forall t > 0. \end{aligned}$$
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1046-3
      Issue No: Vol. 223, No. 2 (2017)
  • Semi-Group Theory for the Stokes Operator with Navier-Type Boundary
           Conditions on L p -Spaces
    • Authors: Hind Al Baba; Chérif Amrouche; Miguel Escobedo
      Pages: 881 - 940
      Abstract: Abstract In this article we consider the Stokes problem with Navier-type boundary conditions on a domain \({\Omega}\) , not necessarily simply connected. Since, under these conditions, the Stokes problem has a non trivial kernel, we also study the solutions lying in the orthogonal of that kernel. We prove the analyticity of several semigroups generated by the Stokes operator considered in different functional spaces. We obtain strong, weak and very weak solutions for the time dependent Stokes problem with the Navier-type boundary condition under different hypotheses on the initial data u 0 and external force f. Then, we study the fractional and pure imaginary powers of several operators related with our Stokes operators. Using the fractional powers, we prove maximal regularity results for the homogeneous Stokes problem. On the other hand, using the boundedness of the pure imaginary powers, we deduce maximal \({L^{p}-L^{q}}\) regularity for the inhomogeneous Stokes problem.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1048-1
      Issue No: Vol. 223, No. 2 (2017)
  • Topologically Distinct Collision-Free Periodic Solutions for the $${N}$$ N
           -Center Problem
    • Authors: Roberto Castelli
      Pages: 941 - 975
      Abstract: Abstract This work concerns the planar \({N}\) -center problem with homogeneous potential of degree \({-\alpha}\) ( \({\alpha\in[1,2)}\) ). The existence of infinitely many, topologically distinct, non-collision periodic solutions with a prescribed energy is proved. A notion of admissibility in the space of loops on the punctured plane is introduced so that in any admissible class and for any positive \({h}\) the existence of a classical periodic solution with energy \({h}\) for the \({N}\) -center problem with \({\alpha\in (1,2)}\) is proven. In case \({\alpha=1}\) a slightly different result is shown: it is the case that there is either a non-collision periodic solution or a collision-reflection solution. The results hold for any position of the centres and it is possible to prescribe in advance the shape of the periodic solutions. The proof combines the topological properties of the space of loops in the punctured plane with variational and geometrical arguments.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1049-0
      Issue No: Vol. 223, No. 2 (2017)
  • Interfaces, Modulated Phases and Textures in Lattice Systems
    • Authors: Andrea Braides; Marco Cicalese
      Pages: 977 - 1017
      Abstract: Abstract We introduce a class of n-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by a phase-transition energy which we compute by means of variational techniques. Degeneracies due to frustration are also discussed.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1050-7
      Issue No: Vol. 223, No. 2 (2017)
  • The Essential Spectrum of the Neumann–Poincaré Operator on a
           Domain with Corners
    • Authors: Karl-Mikael Perfekt; Mihai Putinar
      Pages: 1019 - 1033
      Abstract: Abstract Exploiting the homogeneous structure of a wedge in the complex plane, we compute the spectrum of the anti-linear Ahlfors–Beurling transform acting on the associated Bergman space. Consequently, the similarity equivalence between the Ahlfors–Beurling transform and the Neumann–Poincaré operator provides the spectrum of the latter integral operator on a wedge. A localization technique and conformal mapping lead to the first complete description of the essential spectrum of the Neumann–Poincaré operator on a planar domain with corners, with respect to the energy norm of the associated harmonic field.
      PubDate: 2017-02-01
      DOI: 10.1007/s00205-016-1051-6
      Issue No: Vol. 223, No. 2 (2017)
  • Erratum to: Cauchy Problem and Exponential Stability for the Inhomogeneous
           Landau Equation
    • Authors: Kleber Carrapatoso; Isabelle Tristani; Kung-Chien Wu
      PubDate: 2016-11-25
      DOI: 10.1007/s00205-016-1064-1
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