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Moore-Gibson-Thompson theory for thermoelastic dielectrics

dc.contributor.authorFernández, José Ramón
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-01-26T10:08:57Z
dc.date.available2022-01-14T01:27:37Z
dc.date.issued2021-02
dc.identifier.citationFernández, J.; Quintanilla, R. Moore-Gibson-Thompson theory for thermoelastic dielectrics. "Applied mathematics and mechanics. English edition", Febrer 2021, vol. 2, num. 2, p. 1-8.
dc.identifier.issn0253-4827
dc.identifier.urihttp://hdl.handle.net/2117/335985
dc.description.abstractWe consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the exponential decay of solutions. Third, we consider the thermoelastic case and obtain the existence and the stability of the solutions. Exponential decay of solutions in the one-dimensional case is also recalled
dc.format.extent8 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherMoore-Gibson-Thompson thermoelastic dielectric
dc.subject.otherExistence
dc.subject.otherSemigroups
dc.subject.otherExponential decay
dc.titleMoore-Gibson-Thompson theory for thermoelastic dielectrics
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1007/s10483-021-2703-9
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s10483-021-2703-9
dc.rights.accessOpen Access
local.identifier.drac30289350
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105118GB-I00/ES/ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA/
local.citation.authorFernández, J.; Quintanilla, R.
local.citation.publicationNameApplied mathematics and mechanics. English edition
local.citation.volume42
local.citation.number2
local.citation.startingPage309
local.citation.endingPage316


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