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

Galanopoulou, Myrto, Vikelis, Andreas and Koumatos, Konstantinos (2022) Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity. Communications in Partial Differential Equations. pp. 1-43. ISSN 0360-5302

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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˚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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 21 Dec 2021 16:05
Last Modified: 11 Apr 2022 10:30
URI: http://sro.sussex.ac.uk/id/eprint/103485

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