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

Myrto Galanopoulou, Andreas Vikelis, Konstantinos Koumatos

Research output: Contribution to journalArticlepeer-review

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 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.
Original languageEnglish (US)
Pages (from-to)1-43
Number of pages43
JournalCommunications in Partial Differential Equations
DOIs
StatePublished - Mar 24 2022
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity'. Together they form a unique fingerprint.

Cite this