Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
DOI10.1080/03605302.2022.2047725zbMath1491.35006arXiv2109.15151OpenAlexW3204635001MaRDI QIDQ5864718
Konstantinos Koumatos, Andreas P. Vikelis, Myrto Galanopoulou
Publication date: 8 June 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.15151
quasiconvexityLagrangian coordinatesmeasure-valued solutionsGårding inequalitiesweak vs strong uniqueness
Thermal effects in solid mechanics (74F05) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary regularity and sufficient conditions for strong local minimizers
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity
- A discrete variational scheme for isentropic processes in polyconvex thermoelasticity
- The thermodynamics of elastic materials with heat conduction and viscosity
- Quasilinear hyperbolic systems with involutions
- Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
- Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
- Sufficient conditions for strong local minima: The case of $C^{1}$ extremals
- Remarks on Quasiconvexity and Stability of Equilibria for Variational Integrals
- A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics
- Necessary and sufficient conditions for the strong local minimality of C1 extremals on a class of non-smooth domains
- Quasiconvex Elastodynamics: Weak‐Strong Uniqueness for Measure‐Valued Solutions
- Systems of Conservation Equations with a Convex Extension
- Hyperbolic Conservation Laws in Continuum Physics
This page was built for publication: Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
