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PHYSICS (583 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: 2)
Advanced Composite Materials     Hybrid Journal   (Followers: 61)
Advanced Functional Materials     Hybrid Journal   (Followers: 45)
Advanced Materials     Hybrid Journal   (Followers: 227)
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: 45)
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   (Followers: 1)
Astronomy & Geophysics     Hybrid Journal   (Followers: 46)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 21)
Astrophysical Journal Supplement Series     Full-text available via subscription   (Followers: 7)
Atoms     Open Access   (Followers: 1)
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 10)
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: 45)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 16)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 31)
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: 10)
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: 2)
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: 167)
Composites Part B : Engineering     Hybrid Journal   (Followers: 212)
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: 7)
Cryogenics     Hybrid Journal   (Followers: 45)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 47)
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     Hybrid Journal   (Followers: 3)
EDUSAINS     Open Access  
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 20)
EJNMMI Physics     Open Access  
Electrospinning     Open Access  
Embedded Systems Letters, IEEE     Hybrid Journal   (Followers: 40)
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: 22)
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: 11)
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: 103)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 124)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 4)
Global Journal of Physics     Open Access   (Followers: 2)
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: 3)
Handbook of Thermal Analysis and Calorimetry     Full-text available via subscription   (Followers: 1)
Haptics, IEEE Transactions on     Hybrid Journal   (Followers: 3)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 10)
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: 62)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
Il Colle di Galileo     Open Access  
Image Analysis & Stereology     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: 30)
Industry Applications, IEEE Transactions on     Hybrid Journal   (Followers: 7)
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: 22)
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: 29)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 4)
International Journal of Astronomy and Astrophysics     Open Access   (Followers: 22)
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: 17)

        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]
  • Phase-Field and Korteweg-Type Models for the Time-Dependent Flow of
           Compressible Two-Phase Fluids
    • Authors: Heinrich Freistühler; Matthias Kotschote
      Pages: 1 - 20
      Abstract: Abstract Various versions of the Navier–Stokes–Allen–Cahn (NSAC), the Navier–Stokes–Cahn–Hilliard (NSCH), and the Navier–Stokes–Korteweg (NSK) equations have been used in the literature to model the dynamics of two-phase fluids. One main purpose of this paper consists in (re-)deriving NSAC, NSCH and NSK from first principles, in the spirit of rational mechanics, for fluids of very general constitutive laws. For NSAC, this deduction confirms and extends a proposal of Blesgen. Regarding NSCH, it continues work of Lowengrub and Truskinovsky and provides the apparently first justified formulation in the non-isothermal case. For NSK, it yields a most natural correction to the formulation by Dunn and Serrin. The paper uniformly recovers as examples various classes of fluids, distinguished according to whether none, one, or both of the phases are compressible, and according to the nature of their co-existence. The latter is captured not only by the mixing energy, but also by a ‘mixing rule’—a constitutive law that characterizes the type of the mixing. A second main purpose of the paper is to communicate the apparently new observation that in the case of two immiscible incompressible phases of different temperature-independent specific volumes, NSAC reduces literally to NSK. This finding may be considered as an independent justification of NSK. An analogous fact is shown for NSCH, which under the same assumption reduces to a new non-local version of NSK.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1065-0
      Issue No: Vol. 224, No. 1 (2017)
  • The Inverse Spectral Transform for the Conservative Camassa–Holm Flow
           with Decaying Initial Data
    • Authors: Jonathan Eckhardt
      Pages: 21 - 52
      Abstract: Abstract We establish the inverse spectral transform for the conservative Camassa–Holm flow with decaying initial data. In particular, it is employed to prove the existence of weak solutions for the corresponding Cauchy problem.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1066-z
      Issue No: Vol. 224, No. 1 (2017)
  • Optimal Time-decay Estimates for the Compressible Navier–Stokes
           Equations in the Critical L p Framework
    • Authors: Raphaël Danchin; Jiang Xu
      Pages: 53 - 90
      Abstract: Abstract The global existence issue for the isentropic compressible Navier–Stokes equations in the critical regularity framework was addressed in Danchin (Invent Math 141(3):579–614, 2000) more than 15 years ago. However, whether (optimal) time-decay rates could be shown in critical spaces has remained an open question. Here we give a positive answer to that issue not only in the L 2 critical framework of Danchin (Invent Math 141(3):579–614, 2000) but also in the general L p critical framework of Charve and Danchin (Arch Ration Mech Anal 198(1):233–271, 2010), Chen et al. (Commun Pure Appl Math 63(9):1173–1224, 2010), Haspot (Arch Ration Mech Anal 202(2):427–460, 2011): we show that under a mild additional decay assumption that is satisfied if, for example, the low frequencies of the initial data are in \({L^{p/2}(\mathbb{R}^{d})}\) , the L p norm (the slightly stronger \({\dot B^0_{p,1}}\) norm in fact) of the critical global solutions decays like \({t^{-d(\frac 1p-\frac14)}}\) for \({t\to+\infty,}\) exactly as firstly observed by Matsumura and Nishida in (Proc Jpn Acad Ser A 55:337–342, 1979) in the case p = 2 and d = 3, for solutions with high Sobolev regularity. Our method relies on refined time weighted inequalities in the Fourier space, and is likely to be effective for other hyperbolic/parabolic systems that are encountered in fluid mechanics or mathematical physics.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1067-y
      Issue No: Vol. 224, No. 1 (2017)
  • Global Well-Posedness of the NLS System for Infinitely Many Fermions
    • Authors: Thomas Chen; Younghun Hong; Nataša Pavlović
      Pages: 91 - 123
      Abstract: Abstract In this paper, we study the mean field quantum fluctuation dynamics for a system of infinitely many fermions with delta pair interactions in the vicinity of an equilibrium solution (the Fermi sea) at zero temperature, in dimensions d = 2, 3, and prove global well-posedness of the corresponding Cauchy problem. Our work extends some of the recent important results obtained by Lewin and Sabin in [33,34], who addressed this problem for more regular pair interactions.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1068-x
      Issue No: Vol. 224, No. 1 (2017)
  • Frequency Localized Regularity Criteria for the 3D Navier–Stokes
    • Authors: Z. Bradshaw; Z. Grujić
      Pages: 125 - 133
      Abstract: Abstract Two regularity criteria are established to highlight which Littlewood–Paley frequencies play an essential role in possible singularity formation in a Leray–Hopf weak solution to the Navier–Stokes equations in three spatial dimensions. One of these is a frequency localized refinement of known Ladyzhenskaya–Prodi–Serrin-type regularity criteria restricted to a finite window of frequencies, the lower bound of which diverges to \({+\infty}\) as t approaches an initial singular time.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1069-9
      Issue No: Vol. 224, No. 1 (2017)
  • On the Vortex Filament Conjecture for Euler Flows
    • Authors: Robert L. Jerrard; Christian Seis
      Pages: 135 - 172
      Abstract: Abstract In this paper, we study the evolution of a vortex filament in an incompressible ideal fluid. Under the assumption that the vorticity is concentrated along a smooth curve in \({\mathbb{R}^{3}}\) , we prove that the curve evolves to leading order by binormal curvature flow. Our approach combines new estimates on the distance of the corresponding Hamiltonian-Poisson structures with stability estimates recently developed in Jerrard and Smets (J Eur Math Soc (JEMS) 17(6):1487–1515, 2015).
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1070-3
      Issue No: Vol. 224, No. 1 (2017)
  • Emergence of Coherent Localized Structures in Shear Deformations of
           Temperature Dependent Fluids
    • Authors: Theodoros Katsaounis; Julien Olivier; Athanasios E. Tzavaras
      Pages: 173 - 208
      Abstract: Abstract Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of oscillations around a mean state, it does not by itself explain the formation of coherent structures typically observed in localization. The latter is a nonlinear effect and its analysis is the main objective of this article. We consider a model that captures the main mechanisms observed in high strain-rate deformation of metals, and describes shear motions of temperature dependent non-Newtonian fluids. For a special dependence of the viscosity on the temperature, we carry out a linearized stability analysis around a base state of uniform shearing solutions, and quantitatively assess the effects of the various mechanisms affecting the problem: thermal softening, momentum diffusion and thermal diffusion. Then, we turn to the nonlinear model, and construct localized states—in the form of similarity solutions—that emerge as coherent structures in the localization process. This justifies a scenario for localization that is proposed on the basis of asymptotic analysis in Katsaounis and Tzavaras (SIAM J Appl Math 69:1618–1643, 2009).
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1071-2
      Issue No: Vol. 224, No. 1 (2017)
  • The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of
           Polymeric Flows
    • Authors: Wei Luo; Zhaoyang Yin
      Pages: 209 - 231
      Abstract: Abstract In this paper we mainly study the finite extensible nonlinear elastic (FENE) dumbbell model with dimension \({d \geqq 2}\) in the whole space. We first prove that there is only the trivial solution for the steady-state FENE model under some integrable condition. The obtained results generalize and cover the classical results for the stationary Navier–Stokes equations. We then obtain that the L 2 decay rate of the velocity of the co-rotation FENE model is \({(1+t)^{-\frac{d}{4}}}\) when \({d \geqq 3}\) , and \({\ln^{-k}{(e+t)}, k\in \mathbb{N}^{+}}\) when d = 2. This result improves considerably the recent result of Schonbek (SIAM J Math Anal 41:564–587, 2009). Moreover, we investigate the L 2 decay of solutions to the general FENE model.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1072-1
      Issue No: Vol. 224, No. 1 (2017)
  • Instability of Dielectrics and Conductors in Electrostatic Fields
    • Authors: Grégoire Allaire; Jeffrey Rauch
      Pages: 233 - 268
      Abstract: Abstract This article proves most of the assertion in §116 of Maxwell’s treatise on electromagnetism. The results go under the name Earnshaw’s Theorem and assert the absence of stable equilibrium configurations of conductors and dielectrics in an external electrostatic field.
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-016-1073-0
      Issue No: Vol. 224, No. 1 (2017)
  • Local Boundedness for Minimizers of Some Polyconvex Integrals
    • Authors: Giovanni Cupini; Francesco Leonetti; Elvira Mascolo
      Pages: 269 - 289
      Abstract: Abstract We give a regularity result for local minimizers \({u}:{\Omega \subset {\mathbb{R}}^3 \to {\mathbb{R}}^3}\) of a special class of polyconvex functionals. Under some structure assumptions on the energy density, we prove that local minimizers u are locally bounded. For each component \({u^{\alpha}}\) of u, we first prove a Caccioppoli’s inequality and then apply De Giorgi’s iteration method to get the boundedness of \({u^{\alpha}}\) . Our result can be applied to the polyconvex integral $$\int_\Omega \left( \sum\limits_{\alpha = 1}^{3} D u^\alpha ^{p} + \operatorname{adj}_2 Du ^q + \operatorname{det} Du ^{r}\right) {\rm d}x$$ with suitable \({p,q,r > 1}\) .
      PubDate: 2017-04-01
      DOI: 10.1007/s00205-017-1074-7
      Issue No: Vol. 224, No. 1 (2017)
  • 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)
  • 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)
  • 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)
  • Upscaling a Model for the Thermally-Driven Motion of Screw Dislocations
    • Authors: T. Hudson
      Abstract: Abstract We formulate and study a stochastic model for the thermally-driven motion of interacting straight screw dislocations in a cylindrical domain with a convex polygonal cross-section. Motion is modelled as a Markov jump process, where waiting times for transitions from state to state are assumed to be exponentially distributed with rates expressed in terms of the potential energy barrier between the states. Assuming the energy of the system is described by a discrete lattice model, a precise asymptotic description of the energy barriers between states is obtained. Through scaling of the various physical constants, two dimensionless parameters are identified which govern the behaviour of the resulting stochastic evolution. In an asymptotic regime where these parameters remain fixed, the process is found to satisfy a Large Deviations Principle. A sufficiently explicit description of the corresponding rate functional is obtained such that the most probable path of the dislocation configuration may be described as the solution of Discrete Dislocation Dynamics with an explicit anisotropic mobility which depends on the underlying lattice structure.
      PubDate: 2017-02-04
      DOI: 10.1007/s00205-017-1076-5
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