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arXiv · 2109.15151

Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

Myrto Galanopoulou·Konstantinos Koumatos·Andreas Vikelis
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Abstract

This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A G{\aa}rding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.

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Myrto Galanopoulou, Konstantinos Koumatos, Andreas Vikelis. 2021-09-30. Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity. https://arxiv.org/abs/2109.15151

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