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

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posted on 2023-06-10, 02:04 authored by Myrto Galanopoulou, Andreas Panagiotis Vikelis, Konstantinos KoumatosKonstantinos Koumatos
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°arding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measurevalued solutions.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Communications in Partial Differential Equations

ISSN

0360-5302

Publisher

Taylor & Francis

Page range

1-43

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2021-12-21

First Open Access (FOA) Date

2021-12-21

First Compliant Deposit (FCD) Date

2021-12-21

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