A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness

DOI10.1080/03605302.2018.1456551OpenAlexW2767426402WikidataQ60117318 ScholiaQ60117318MaRDI QIDQ4622904

Myrto Galanopoulou, Cleopatra C. Christoforou, Athanassios E. Tzavaras

Publication date: 18 February 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01582

zbMATH Keywords

thermoelasticitythermoviscoelasticitypolyconvexityweak-strong uniquenesszero-viscosity limits

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Hyperbolic conservation laws (35L65) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Stability of multidimensional thermoelastic contact discontinuities ⋮ Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions ⋮ A new energy-momentum time integration scheme for non-linear thermo-mechanics ⋮ Stability of Strong Solutions to the Navier--Stokes--Fourier System ⋮ A discrete variational scheme for isentropic processes in polyconvex thermoelasticity ⋮ Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

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