Show simple item record

dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-07-23T11:21:36Z
dc.date.available2020-07-23T11:21:36Z
dc.date.issued2020-05
dc.identifier.citationQuintanilla, R. Moore-Gibson-Thompson thermoelasticity with two temperatures. "Applications in Engineering Science", Maig 2020, vol. 1, p. 100006-1-100006-6.
dc.identifier.issn2666-4968
dc.identifier.urihttp://hdl.handle.net/2117/327481
dc.description.abstractIn this note we propose the Moore-Gibson-Thompson heat conduction equation with two temperatures and prove the well posedness and the exponential decay of the solutions under suitable conditions on the constitutive parameters. Later we consider the extension to the Moore-Gibson-Thompson thermoelasticity with two temperatures and prove that we cannot expect for the exponential stability even in the one-dimensional case. This last result contrasts with the one obtained for the Moore-Gibson-Thompson thermoelasticity where the exponential decay was obtained. However we prove the polynomial decay of the solutions. The paper concludes by giving the main ideas to extend the theory for inhomogeneous and anisotropic materials.
dc.language.isoeng
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherMoore-Gibson-Thompson heat conduction
dc.subject.otherTwo temperatures
dc.subject.otherExponential stability
dc.subject.otherSlow decay
dc.subject.otherPolynomial decay
dc.titleMoore-Gibson-Thompson thermoelasticity with two temperatures
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1016/j.apples.2020.100006
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::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S2666496820300066
dc.rights.accessOpen Access
local.identifier.drac28788403
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
local.citation.authorQuintanilla, R.
local.citation.publicationNameApplications in Engineering Science
local.citation.volume1
local.citation.startingPage100006-1
local.citation.endingPage100006-6


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 4.0 Generic
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 Generic