Uniform stability of a non-autonomous semilinear Bresse system with memory

Detalhes bibliográficos
Autor(a) principal: Araujo, Rawlilson O. [UNESP]
Data de Publicação: 2020
Outros Autores: Marinho, Sheyla S., Filho, Julio S. Prates
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/jamc.2019.04.074
http://hdl.handle.net/11449/209437
Resumo: The Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch's curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces. (C) 2019 Elsevier Inc. All rights reserved.
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spelling Uniform stability of a non-autonomous semilinear Bresse system with memoryBresse systemEnergy decayVisco-elasticityInfinite memoryThe Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch's curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces. (C) 2019 Elsevier Inc. All rights reserved.Sao Paulo State Univ, Inst Geosci & Exact Sci, Dept Math, BR-13506900 Rio Claro, SP, BrazilUniv Sao Paulo, Inst Math & Comp Sci, BR-13560190 Sao Carlos, SP, BrazilUniv Estadual Maringa, Dept Math, BR-87020900 Maringa, PR, BrazilSao Paulo State Univ, Inst Geosci & Exact Sci, Dept Math, BR-13506900 Rio Claro, SP, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Universidade Estadual de Maringá (UEM)Araujo, Rawlilson O. [UNESP]Marinho, Sheyla S.Filho, Julio S. Prates2021-06-25T12:18:40Z2021-06-25T12:18:40Z2020-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11http://dx.doi.org/10.1016/jamc.2019.04.074Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 387, 11 p., 2020.0096-3003http://hdl.handle.net/11449/20943710.1016/jamc.2019.04.074WOS:000566875700014Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics And Computationinfo:eu-repo/semantics/openAccess2021-10-23T19:28:11Zoai:repositorio.unesp.br:11449/209437Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T11:23:30.473722Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Uniform stability of a non-autonomous semilinear Bresse system with memory
title Uniform stability of a non-autonomous semilinear Bresse system with memory
spellingShingle Uniform stability of a non-autonomous semilinear Bresse system with memory
Araujo, Rawlilson O. [UNESP]
Bresse system
Energy decay
Visco-elasticity
Infinite memory
title_short Uniform stability of a non-autonomous semilinear Bresse system with memory
title_full Uniform stability of a non-autonomous semilinear Bresse system with memory
title_fullStr Uniform stability of a non-autonomous semilinear Bresse system with memory
title_full_unstemmed Uniform stability of a non-autonomous semilinear Bresse system with memory
title_sort Uniform stability of a non-autonomous semilinear Bresse system with memory
author Araujo, Rawlilson O. [UNESP]
author_facet Araujo, Rawlilson O. [UNESP]
Marinho, Sheyla S.
Filho, Julio S. Prates
author_role author
author2 Marinho, Sheyla S.
Filho, Julio S. Prates
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
Universidade Estadual de Maringá (UEM)
dc.contributor.author.fl_str_mv Araujo, Rawlilson O. [UNESP]
Marinho, Sheyla S.
Filho, Julio S. Prates
dc.subject.por.fl_str_mv Bresse system
Energy decay
Visco-elasticity
Infinite memory
topic Bresse system
Energy decay
Visco-elasticity
Infinite memory
description The Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch's curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces. (C) 2019 Elsevier Inc. All rights reserved.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-15
2021-06-25T12:18:40Z
2021-06-25T12:18:40Z
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 http://dx.doi.org/10.1016/jamc.2019.04.074
Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 387, 11 p., 2020.
0096-3003
http://hdl.handle.net/11449/209437
10.1016/jamc.2019.04.074
WOS:000566875700014
url http://dx.doi.org/10.1016/jamc.2019.04.074
http://hdl.handle.net/11449/209437
identifier_str_mv Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 387, 11 p., 2020.
0096-3003
10.1016/jamc.2019.04.074
WOS:000566875700014
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics And Computation
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 11
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803045812986445824

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