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 Gårding-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.
Bibliographical noteKAUST Repository Item: Exported on 2022-05-25
Acknowledgements: KK and AV acknowledge the support of the Dr Perry James (Jim) Browne Research Centre on Mathematics and its Applications of the University of Sussex. The article was partially written while MG was a PhD student at King Abdullah University of Science and Technology (KAUST), Saudi Arabia.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
ASJC Scopus subject areas
- Applied Mathematics