Show simple item record

dc.contributor.authorChristoforou, Cleopatraen
dc.contributor.authorTzavaras, Athanasios E.en
dc.creatorChristoforou, Cleopatraen
dc.creatorTzavaras, Athanasios E.en
dc.date.accessioned2021-01-25T08:41:26Z
dc.date.available2021-01-25T08:41:26Z
dc.date.issued2018
dc.identifier.issn1432-0673
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/62868
dc.description.abstractWe extend the relative entropy identity to the class of hyperbolic–parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is useful for providing stability of viscous solutions and yields a convergence result in the zero-viscosity limit to smooth solutions in an Lpframework. It also provides a weak–strong uniqueness theorem for measure valued solutions of the hyperbolic problem. In the second part, the relative entropy identity is developed for the systems of gas dynamics for viscous and heat conducting gases and for the system of thermoviscoelasticity both including viscosity and heat-conduction effects. The dissipation mechanisms and the concentration measures play different roles when applying the method to the general class of hyperbolic–parabolic systems and to the specific examples, and their ramifications are highlighted.en
dc.language.isoenen
dc.sourceArchive for Rational Mechanics and Analysisen
dc.source.urihttps://doi.org/10.1007/s00205-017-1212-2
dc.titleRelative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticityen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1007/s00205-017-1212-2
dc.description.volume229
dc.description.issue1
dc.description.startingpage1
dc.description.endingpage52
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.source.abbreviationArch Rational Mech Analen
dc.contributor.orcidChristoforou, Cleopatra [0000-0003-4467-3322]
dc.contributor.orcidTzavaras, Athanasios E. [0000-0002-1896-2270]
dc.gnosis.orcid0000-0003-4467-3322
dc.gnosis.orcid0000-0002-1896-2270


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record