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Exponential decay in one-dimensional type III thermoelasticity with voids

dc.contributor.authorMiranville, Alain
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-03-21T15:04:25Z
dc.date.available2021-02-22T01:25:54Z
dc.date.issued2019-08
dc.identifier.citationMiranville, A.; Quintanilla, R. Exponential decay in one-dimensional type III thermoelasticity with voids. "Applied mathematics letters", Agost 2019, vol. 94, p. 30-37.
dc.identifier.issn0893-9659
dc.identifier.urihttp://hdl.handle.net/2117/130728
dc.description.abstractIn this paper we consider the one-dimensional type III thermoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior in the case of the thermoelastic theory based on the classical Fourier law for which the decayis generically slower.
dc.format.extent8 p.
dc.language.isoeng
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherType III thermoelasticity
dc.subject.othervoids
dc.subject.otherexponential decay
dc.titleExponential decay in one-dimensional type III thermoelasticity with voids
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1016/j.aml.2019.02.014
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::74 Mechanics of deformable solids::74H Dynamical problems
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74E Material properties given special treatment
dc.subject.amsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
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/S0893965919300710
dc.rights.accessOpen Access
local.identifier.drac23946912
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
local.citation.authorMiranville, A.; Quintanilla, R.
local.citation.publicationNameApplied mathematics letters
local.citation.volume94
local.citation.startingPage30
local.citation.endingPage37


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