Exponential stability in thermoviscoelastic mixtures of solids

Detalhes bibliográficos
Autor(a) principal: Alves, Margareth S.
Data de Publicação: 2009
Outros Autores: Rivera, Jaime E. Muñoz, Sepúlveda, Mauricio A., Villagrán, Octavio Paulo Vera
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.ijsolstr.2009.07.026
http://www.locus.ufv.br/handle/123456789/22075
Resumo: In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.
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spelling Alves, Margareth S.Rivera, Jaime E. MuñozSepúlveda, Mauricio A.Villagrán, Octavio Paulo Vera2018-10-01T11:33:00Z2018-10-01T11:33:00Z2009-12-010020-7683https://doi.org/10.1016/j.ijsolstr.2009.07.026http://www.locus.ufv.br/handle/123456789/22075In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.engInternational Journal of Solids and StructuresVolume 46, Issue 24, Pages 4151-4162, December 2009Thermoviscoelastic mixturesC0-semigroupExponential stabilityCoupled systemExponential stability in thermoviscoelastic mixtures of solidsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfinfo:eu-repo/semantics/openAccessreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf1671007https://locus.ufv.br//bitstream/123456789/22075/1/artigo.pdf7b985c7e46c4b3bdfc5143955af07fd0MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/22075/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5394https://locus.ufv.br//bitstream/123456789/22075/3/artigo.pdf.jpg299f1d3ffb52244862ec97240f034122MD53123456789/220752018-10-01 23:00:36.843oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-10-02T02:00:36LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Exponential stability in thermoviscoelastic mixtures of solids
title Exponential stability in thermoviscoelastic mixtures of solids
spellingShingle Exponential stability in thermoviscoelastic mixtures of solids
Alves, Margareth S.
Thermoviscoelastic mixtures
C0-semigroup
Exponential stability
Coupled system
title_short Exponential stability in thermoviscoelastic mixtures of solids
title_full Exponential stability in thermoviscoelastic mixtures of solids
title_fullStr Exponential stability in thermoviscoelastic mixtures of solids
title_full_unstemmed Exponential stability in thermoviscoelastic mixtures of solids
title_sort Exponential stability in thermoviscoelastic mixtures of solids
author Alves, Margareth S.
author_facet Alves, Margareth S.
Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio A.
Villagrán, Octavio Paulo Vera
author_role author
author2 Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio A.
Villagrán, Octavio Paulo Vera
author2_role author
author
author
dc.contributor.author.fl_str_mv Alves, Margareth S.
Rivera, Jaime E. Muñoz
Sepúlveda, Mauricio A.
Villagrán, Octavio Paulo Vera
dc.subject.pt-BR.fl_str_mv Thermoviscoelastic mixtures
C0-semigroup
Exponential stability
Coupled system
topic Thermoviscoelastic mixtures
C0-semigroup
Exponential stability
Coupled system
description In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.
publishDate 2009
dc.date.issued.fl_str_mv 2009-12-01
dc.date.accessioned.fl_str_mv 2018-10-01T11:33:00Z
dc.date.available.fl_str_mv 2018-10-01T11:33:00Z
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.ijsolstr.2009.07.026
http://www.locus.ufv.br/handle/123456789/22075
dc.identifier.issn.none.fl_str_mv 0020-7683
identifier_str_mv 0020-7683
url https://doi.org/10.1016/j.ijsolstr.2009.07.026
http://www.locus.ufv.br/handle/123456789/22075
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 46, Issue 24, Pages 4151-4162, December 2009
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv International Journal of Solids and Structures
publisher.none.fl_str_mv International Journal of Solids and Structures
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
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reponame_str LOCUS Repositório Institucional da UFV
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