Show simple item record

dc.contributor.authorConti, Monica
dc.contributor.authorPata, Vittorino
dc.contributor.authorPellicer Sabadí, Marta
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-04-22T07:59:18Z
dc.date.available2022-04-06T00:27:29Z
dc.date.issued2021-10
dc.identifier.citationConti, M. [et al.]. A new approach to MGT-thermoviscoelasticity. "Discrete and continuous dynamical systems. Series A", Octubre 2021, vol. 41, num. 10, p. 4645-4666.
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/2117/344125
dc.description.abstractIn this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on the invariance of the entropy under time reversal. We derive differential systems where the temperature and the velocity are ruled by generalized versions of the Moore-Gibson-Thompson equation. In the one-dimensional case, we provide a complete analysis of the evolution, establishing an existence and uniqueness result valid for any choice of the constitutive parameters. This result turns out to be new also for the MGT equation itself. Then, under suitable assumptions on the parameters, corresponding to the subcritical regime of the system, we prove the exponential stability of the related semigroup
dc.format.extent22 p.
dc.language.isoeng
dc.publisherAmerican Institute of Mathematical Sciences
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.lcshViscoelasticity
dc.subject.otherMoore-Gibson-Thompson equation
dc.subject.otherThermoelasticity
dc.subject.otherThermoviscoelasticity
dc.subject.otherSolution semigroup
dc.subject.otherExponential stability
dc.titleA new approach to MGT-thermoviscoelasticity
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.subject.lemacViscoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.3934/dcds.2021052
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.aimsciences.org/article/doi/10.3934/dcds.2021052
dc.rights.accessOpen Access
local.identifier.drac30914666
dc.description.versionPostprint (author's final draft)
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.authorConti, M.; Pata, V.; Pellicer , M.; Quintanilla, R.
local.citation.publicationNameDiscrete and continuous dynamical systems. Series A
local.citation.volume41
local.citation.number10
local.citation.startingPage4645
local.citation.endingPage4666


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record