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dc.contributor.authorChristoforou, Cleopatra*
dc.contributor.authorGalanopoulou, Myrto Maria*
dc.contributor.authorTzavaras, Athanasios*
dc.date.accessioned2018-03-22T13:30:01Z
dc.date.available2017-12-28T07:32:11Z
dc.date.available2018-03-22T13:30:01Z
dc.date.issued2018-03-21
dc.identifier.doi10.1080/03605302.2018.1456551
dc.identifier.urihttp://hdl.handle.net/10754/626459
dc.description.abstractWe embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Following the relative entropy formulation, we prove the convergence from thermoviscoelasticity with Newtonian viscosity and Fourier heat conduction to smooth solutions of the system of adiabatic thermoelasticity as both parameters tend to zero. Also, convergence from thermoviscoelasticity to smooth solutions of thermoelasticity in the zero-viscosity limit. Finally, we establish a weak-strong uniqueness result for the equations of adiabatic thermoelasticity in the class of entropy weak solutions.en
dc.language.isoenen
dc.publisherTaylor & Francisen
dc.relation.urlhttp://arxiv.org/abs/1711.01582v2en
dc.relation.urlhttp://arxiv.org/pdf/1711.01582v2en
dc.rightsArchived with thanks to Communications in Partial Differential Equationsen
dc.titleA symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniquenessen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division*
dc.contributor.departmentApplied Mathematics and Computational Science Program*
dc.contributor.departmentComputer, Electrical, Mathematical Sciences & Engineering Division*
dc.identifier.journalCommunications in Partial Differential Equationsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus.*
dc.identifier.arxividarXiv:1711.01582
kaust.personGalanopoulou, Myrto Maria*
kaust.personTzavaras, Athanasios*
refterms.dateFOA2018-06-13T12:47:59Z


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