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dc.contributor.authorChristoforou, Cleopatra
dc.contributor.authorGalanopoulou, Myrto Maria
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2020-06-09T11:53:13Z
dc.date.available2019-12-22T08:39:47Z
dc.date.available2020-06-09T11:53:13Z
dc.date.issued2020-06-29
dc.date.submitted2019-12-12
dc.identifier.citationChristoforou, C., Galanopoulou, M., & Tzavaras, A. E. (2020). A discrete variational scheme for isentropic processes in polyconvex thermoelasticity. Calculus of Variations and Partial Differential Equations, 59(4). doi:10.1007/s00526-020-01766-w
dc.identifier.issn1432-0835
dc.identifier.issn0944-2669
dc.identifier.doi10.1007/s00526-020-01766-w
dc.identifier.urihttp://hdl.handle.net/10754/660719
dc.description.abstractWe 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.
dc.description.sponsorshipThe authors thank the anonymous referee for very helpful comments that helped considerably in improving this work.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s00526-020-01766-w
dc.rightsArchived with thanks to Calculus of Variations and Partial Differential Equations
dc.titleA discrete variational scheme for isentropic processes in polyconvex thermoelasticity
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalCalculus of Variations and Partial Differential Equations
dc.rights.embargodate2021-06-29
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics and Statistics, University of Cyprus, 1678, Nicosia, Cyprus
dc.identifier.volume59
dc.identifier.issue4
pubs.publication-statusAccepted
dc.identifier.arxivid1912.05835
kaust.personGalanopoulou, Myrto Maria
kaust.personTzavaras, Athanasios
dc.date.accepted2020-04-30
dc.identifier.eid2-s2.0-85087037058
refterms.dateFOA2019-12-22T08:40:20Z
dc.date.published-online2020-06-29
dc.date.published-print2020-08
dc.date.posted2019-12-12


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