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Loss of exponential stability for a thermoelastic system with memory

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dc.contributor.authorAlves, Bruno Ferreira
dc.contributor.authorBastos, Waldemar Donizete [UNESP]
dc.contributor.authorRaposo, Carlos Alberto
dc.contributor.institutionFederal University of S. J. del-Rey
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T21:25:04Z
dc.date.available2022-04-28T21:25:04Z
dc.date.issued2010-09-28
dc.description.abstractIn this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable. © 2010 Texas State University - San Marcos.en
dc.description.affiliationDepartament of Mathematics Federal University of S. J. del-Rey, Praça Frei Orlando, 170, 36300-000 São João del Rei, MG
dc.description.affiliationDepartament of Mathematics São Paulo State University UNESP, Rua Cristóvão Colombo, 2265, 15054-000, São José do Rio Preto, SP
dc.description.affiliationUnespDepartament of Mathematics São Paulo State University UNESP, Rua Cristóvão Colombo, 2265, 15054-000, São José do Rio Preto, SP
dc.format.extent1-5
dc.identifier.citationElectronic Journal of Differential Equations, v. 2010, p. 1-5.
dc.identifier.issn1072-6691
dc.identifier.scopus2-s2.0-77956961559
dc.identifier.urihttp://hdl.handle.net/11449/226043
dc.language.isoeng
dc.relation.ispartofElectronic Journal of Differential Equations
dc.sourceScopus
dc.subjectC0-semigroup; decay of solutions
dc.subjectHeat conduction with memory
dc.subjectThermoelastic system
dc.titleLoss of exponential stability for a thermoelastic system with memoryen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas