TY - JOUR
T1 - A discrete variational scheme for isentropic processes in polyconvex thermoelasticity
AU - Christoforou, Cleopatra
AU - Galanopoulou, Myrto Maria
AU - Tzavaras, Athanasios
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors thank the anonymous referee for very helpful comments that helped considerably in improving this work.
PY - 2020/6/29
Y1 - 2020/6/29
N2 - We propose a variational scheme for the construction of isentropic processes of the equations of adiabatic thermoelasticity with polyconvex internal energy. The scheme hinges on the embedding of the equations of adiabatic polyconvex thermoelasticity into a symmetrizable hyperbolic system. We establish existence of minimizers for an associated minimization theorem and construct measure-valued solutions that dissipate the total energy. We prove that the scheme converges when the limiting solution is smooth.
AB - We propose a variational scheme for the construction of isentropic processes of the equations of adiabatic thermoelasticity with polyconvex internal energy. The scheme hinges on the embedding of the equations of adiabatic polyconvex thermoelasticity into a symmetrizable hyperbolic system. We establish existence of minimizers for an associated minimization theorem and construct measure-valued solutions that dissipate the total energy. We prove that the scheme converges when the limiting solution is smooth.
UR - http://hdl.handle.net/10754/660719
UR - http://link.springer.com/10.1007/s00526-020-01766-w
UR - http://www.scopus.com/inward/record.url?scp=85087037058&partnerID=8YFLogxK
U2 - 10.1007/s00526-020-01766-w
DO - 10.1007/s00526-020-01766-w
M3 - Article
SN - 1432-0835
VL - 59
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 4
ER -