About analyticity for the coupled system of linear thermoviscoelastic equations

Detalhes bibliográficos
Autor(a) principal: Alves, Margareth S.
Data de Publicação: 2015
Outros Autores: Rivera, Jaime E. Muñoz, Sepúlveda, Mauricio, Vera, Octavio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.amc.2015.08.092
http://www.locus.ufv.br/handle/123456789/21513
Resumo: In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.
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spelling Alves, Margareth S.Rivera, Jaime E. MuñozSepúlveda, MauricioVera, Octavio2018-08-29T16:29:00Z2018-08-29T16:29:00Z2015-11-0100963003https://doi.org/10.1016/j.amc.2015.08.092http://www.locus.ufv.br/handle/123456789/21513In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.engApplied Mathematics and Computationv. 270, p. 943- 952, november 2015Elsevier Inc.info:eu-repo/semantics/openAccessThermoviscoelasticityExponential stabilityAnalyticitySemigroup theoryAbout analyticity for the coupled system of linear thermoviscoelastic equationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf323905https://locus.ufv.br//bitstream/123456789/21513/1/artigo.pdf4f1a1c63425e58c05bf4026a19bab38bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21513/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5656https://locus.ufv.br//bitstream/123456789/21513/3/artigo.pdf.jpga1c48a9bce1e930cfbc4a29f992070f6MD53123456789/215132018-08-29 23:00:34.528oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-08-30T02:00:34LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv About analyticity for the coupled system of linear thermoviscoelastic equations
title About analyticity for the coupled system of linear thermoviscoelastic equations
spellingShingle About analyticity for the coupled system of linear thermoviscoelastic equations
Alves, Margareth S.
Thermoviscoelasticity
Exponential stability
Analyticity
Semigroup theory
title_short About analyticity for the coupled system of linear thermoviscoelastic equations
title_full About analyticity for the coupled system of linear thermoviscoelastic equations
title_fullStr About analyticity for the coupled system of linear thermoviscoelastic equations
title_full_unstemmed About analyticity for the coupled system of linear thermoviscoelastic equations
title_sort About analyticity for the coupled system of linear thermoviscoelastic equations
author Alves, Margareth S.
author_facet Alves, Margareth S.
Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio
Vera, Octavio
author_role author
author2 Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio
Vera, Octavio
author2_role author
author
author
dc.contributor.author.fl_str_mv Alves, Margareth S.
Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio
Vera, Octavio
dc.subject.pt-BR.fl_str_mv Thermoviscoelasticity
Exponential stability
Analyticity
Semigroup theory
topic Thermoviscoelasticity
Exponential stability
Analyticity
Semigroup theory
description In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.
publishDate 2015
dc.date.issued.fl_str_mv 2015-11-01
dc.date.accessioned.fl_str_mv 2018-08-29T16:29:00Z
dc.date.available.fl_str_mv 2018-08-29T16:29:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.amc.2015.08.092
http://www.locus.ufv.br/handle/123456789/21513
dc.identifier.issn.none.fl_str_mv 00963003
identifier_str_mv 00963003
url https://doi.org/10.1016/j.amc.2015.08.092
http://www.locus.ufv.br/handle/123456789/21513
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 270, p. 943- 952, november 2015
dc.rights.driver.fl_str_mv Elsevier Inc.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Elsevier Inc.
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Applied Mathematics and Computation
publisher.none.fl_str_mv Applied Mathematics and Computation
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