Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture

Detalhes bibliográficos
Autor(a) principal: Alves, Margareth S.
Data de Publicação: 2011
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/10.1007/s00707-010-0443-1
http://www.locus.ufv.br/handle/123456789/21514
Resumo: In this paper, we investigate the asymptotic behavior of solutions to the initial boundary value problem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin–Voigt materials. Our main result is to establish conditions which insure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions for the coefficients we obtain a lack of exponential stability. A numerical scheme is given.
id UFV_15a3ae33ce6933f7ebe4b871f38201c3
oai_identifier_str oai:locus.ufv.br:123456789/21514
network_acronym_str UFV
network_name_str LOCUS Repositório Institucional da UFV
repository_id_str 2145
spelling Alves, Margareth S.Rivera, Jaime E. MuñozSepúlveda, MauricioVera, Octavio2018-08-29T16:35:35Z2018-08-29T16:35:35Z2011-0616196937https://doi.org/10.1007/s00707-010-0443-1http://www.locus.ufv.br/handle/123456789/21514In this paper, we investigate the asymptotic behavior of solutions to the initial boundary value problem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin–Voigt materials. Our main result is to establish conditions which insure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions for the coefficients we obtain a lack of exponential stability. A numerical scheme is given.engActa Mechanicav. 219, n. 1– 2, p. 145– 167, june 2011Springer-Verlaginfo:eu-repo/semantics/openAccessPorosityLinear theoryDiscrete fourier transformExponential stabilityInitial boundaryStabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixtureinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf761588https://locus.ufv.br//bitstream/123456789/21514/1/artigo.pdff5ccfd36eac1951746b9af97051c7e8eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21514/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4670https://locus.ufv.br//bitstream/123456789/21514/3/artigo.pdf.jpg25709dcb2ee95088d82e6ae8d1467379MD53123456789/215142018-08-29 23:00:34.893oai: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 Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
title Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
spellingShingle Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
Alves, Margareth S.
Porosity
Linear theory
Discrete fourier transform
Exponential stability
Initial boundary
title_short Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
title_full Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
title_fullStr Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
title_full_unstemmed Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
title_sort Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture
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 Porosity
Linear theory
Discrete fourier transform
Exponential stability
Initial boundary
topic Porosity
Linear theory
Discrete fourier transform
Exponential stability
Initial boundary
description In this paper, we investigate the asymptotic behavior of solutions to the initial boundary value problem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin–Voigt materials. Our main result is to establish conditions which insure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions for the coefficients we obtain a lack of exponential stability. A numerical scheme is given.
publishDate 2011
dc.date.issued.fl_str_mv 2011-06
dc.date.accessioned.fl_str_mv 2018-08-29T16:35:35Z
dc.date.available.fl_str_mv 2018-08-29T16:35:35Z
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/10.1007/s00707-010-0443-1
http://www.locus.ufv.br/handle/123456789/21514
dc.identifier.issn.none.fl_str_mv 16196937
identifier_str_mv 16196937
url https://doi.org/10.1007/s00707-010-0443-1
http://www.locus.ufv.br/handle/123456789/21514
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 219, n. 1– 2, p. 145– 167, june 2011
dc.rights.driver.fl_str_mv Springer-Verlag
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer-Verlag
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Acta Mechanica
publisher.none.fl_str_mv Acta Mechanica
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
bitstream.url.fl_str_mv https://locus.ufv.br//bitstream/123456789/21514/1/artigo.pdf
https://locus.ufv.br//bitstream/123456789/21514/2/license.txt
https://locus.ufv.br//bitstream/123456789/21514/3/artigo.pdf.jpg
bitstream.checksum.fl_str_mv f5ccfd36eac1951746b9af97051c7e8e
8a4605be74aa9ea9d79846c1fba20a33
25709dcb2ee95088d82e6ae8d1467379
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv fabiojreis@ufv.br
_version_ 1801212855885758464

Registros relacionados