TY - JOUR
T1 - Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
AU - Galanopoulou, Myrto
AU - Vikelis, Andreas
AU - Koumatos, Konstantinos
N1 - KAUST 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.
PY - 2022/3/24
Y1 - 2022/3/24
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/678192
UR - https://www.tandfonline.com/doi/full/10.1080/03605302.2022.2047725
UR - http://www.scopus.com/inward/record.url?scp=85127115100&partnerID=8YFLogxK
U2 - 10.1080/03605302.2022.2047725
DO - 10.1080/03605302.2022.2047725
M3 - Article
SN - 1532-4133
SP - 1
EP - 43
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
ER -