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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.issued2018-04-20
dc.identifier.citationChristoforou, C., Galanopoulou, M., & Tzavaras, A. E. (2018). A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Communications in Partial Differential Equations, 43(7), 1019–1050. doi:10.1080/03605302.2018.1456551
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.
dc.language.isoen
dc.publisherInforma UK Limited
dc.relation.urlhttp://arxiv.org/abs/1711.01582v2
dc.relation.urlhttp://arxiv.org/pdf/1711.01582v2
dc.rightsArchived with thanks to Communications in Partial Differential Equations
dc.titleA symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalCommunications in Partial Differential Equations
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus.
dc.identifier.arxivid1711.01582
kaust.personGalanopoulou, Myrto Maria
kaust.personTzavaras, Athanasios
refterms.dateFOA2018-06-13T12:47:59Z
dc.date.posted2017-11-05


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