A discrete variational scheme for isentropic processes in polyconvex thermoelasticity

Cleopatra Christoforou, Myrto Maria Galanopoulou, Athanasios Tzavaras

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish (US)
JournalCalculus of Variations and Partial Differential Equations
Volume59
Issue number4
DOIs
StatePublished - Jun 29 2020

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