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dc.contributor.authorMagaña Nieto, Antonio
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationMagaña, A.; Quintanilla, R. Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities. "Mathematical methods in the applied sciences", 26 Abril 2020, p. 1-17.
dc.description.abstractIn this paper we consider the theory of thermoelasticity with a double porosity structure in the context of the Green-Naghdi types II and III heat conduction models. For the type II, the problem is given by four hyperbolic equations and it is conservative (there is no energy dissipation). We introduce in the system a couple of dissipation mechanisms in order to obtain the exponential de- cay of the solutions. To be precise, we introduce a pair of the following damping mechanisms: viscoelasticity, viscoporosities and thermal dissipation. We prove that the system is exponentially stable in three different scenarios: viscoporosity in one structure jointly with thermal dissipation, viscoporosity in each structure, and viscoporosity in one structure jointly with viscoelasticity. However, if viscoelasticity and thermal dissipation are considered together, undamped solutions can be obtained.
dc.format.extent17 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.otherType II/III thermoelasticity with double voids
dc.subject.otherExponential decay.
dc.titleExponential decay in one-dimensional Type II/III thermoelasticity with two porosities
dc.contributor.groupUniversitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
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::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorMagaña, A.; Quintanilla, R.
local.citation.publicationNameMathematical methods in the applied sciences

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