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Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
Myrto Galanopoulou, Konstantinos Koumatos, Andreas Vikelis
This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symm…
A discrete variational scheme for isentropic processes in polyconvex thermoelasticity
Cleopatra Christoforou, Myrto Galanopoulou, Athanasios E. Tzavaras
We propose a variational scheme for the construction of isentropic processes of the equations of adiabatic thermoelasticity with polyconvex internal energy. The scheme hinges on th…
Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
Cleopatra Christoforou, Myrto Galanopoulou, Athanasios E. Tzavaras
For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximatio…
A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
Cleopatra Christoforou, Myrto Galanopoulou, Athanasios E. Tzavaras
We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Fol…