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dc.contributor.authorConti, Monica
dc.contributor.authorPata, Vittorino
dc.contributor.authorPellicer, Marta
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-07-13T12:13:55Z
dc.date.issued2020-10
dc.identifier.citationConti, M. [et al.]. On the analyticity of the MGT-viscoelastic plate with heat conduction. "Journal of differential equations", Octubre 2020, vol. 269, núm. 10, p. 7862-7880.
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/2117/192903
dc.description.abstractWe consider a viscoelastic plate equation of Moore-Gibson-Thompson type coupled with two different kinds of thermal laws, namely, the usual Fourier one and the heat conduction law of type III. In both cases, the resulting system is shown to generate a contraction semigroup of solutions on a suitable Hilbert space. Then we prove that these semigroups are analytic, despite the fact that the semigroup generated by the mechanical equation alone does not share the same property. This means that the coupling with the heat equation produces a regularizing effect on the dynamics, implying in particular the impossibility of the localization of solutions. As a byproduct of our main result, the exponential stability of the semigroups is established.
dc.format.extent19 p.
dc.language.isoeng
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.lcshViscoelasticity
dc.subject.lcshHeat -- Conduction
dc.subject.otherMGT equation
dc.subject.otherViscoelasticity
dc.subject.otherFourier heat conduction
dc.subject.otherType III heat conduction
dc.subject.otherAnalytic semigroups
dc.titleOn the analyticity of the MGT-viscoelastic plate with heat conduction
dc.typeArticle
dc.subject.lemacViscoelasticitat
dc.subject.lemacCalor -- Conducció
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1016/j.jde.2020.05.043
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
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::74K Thin bodies, structures
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0022039620303089
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac28685966
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
dc.date.lift2022-06-16
local.citation.authorConti, M.; Pata, V.; Pellicer, M.; Quintanilla, R.
local.citation.publicationNameJournal of differential equations
local.citation.volume269
local.citation.number10
local.citation.startingPage7862
local.citation.endingPage7880


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