Weal-strong uniqueness - K Koumatos.pdf (429.42 kB)
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
journal contribution
posted on 2023-06-10, 02:04 authored by Myrto Galanopoulou, Andreas Panagiotis Vikelis, Konstantinos KoumatosKonstantinos KoumatosThis 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 EquationsISSN
0360-5302Publisher
Taylor & FrancisExternal DOI
Page range
1-43Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes