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This article studies the equations of adiabatic thermoelasticity endowed withan internal energy satisfying an appropriate quasiconvexity assumption which isassociated to the symmetrisability condition for the system. A G{\aa}rding-typeinequality for these quasiconvex functions is proved and used to establish aweak-strong uniqueness result for a class of dissipative measure-valuedsolutions.

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