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

Detalhes bibliográficos
Autor(a) principal: Araújo, Rawlilson O. [UNESP]
Data de Publicação: 2020
Outros Autores: Marinho, Sheyla S., Prates Filho, Julio S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2019.04.074
http://hdl.handle.net/11449/221299
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.
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spelling Uniform stability of a non-autonomous semilinear Bresse system with memoryBresse systemEnergy decayInfinite memoryVisco-elasticityThe 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.Department of Mathematics Institute of Geosciences and Exact Sciences São Paulo State UniversityInstitute of Mathematical and Computer Sciences University of São PauloDepartment of Mathematics State University of MaringáDepartment of Mathematics Institute of Geosciences and Exact Sciences São Paulo State UniversityUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)State University of MaringáAraújo, Rawlilson O. [UNESP]Marinho, Sheyla S.Prates Filho, Julio S.2022-04-28T19:27:11Z2022-04-28T19:27:11Z2020-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.amc.2019.04.074Applied Mathematics and Computation, v. 387.0096-3003http://hdl.handle.net/11449/22129910.1016/j.amc.2019.04.0742-s2.0-85065815973Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computationinfo:eu-repo/semantics/openAccess2022-04-28T19:27:11Zoai:repositorio.unesp.br:11449/221299Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:52:16.312824Repositório 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
Araújo, Rawlilson O. [UNESP]
Bresse system
Energy decay
Infinite memory
Visco-elasticity
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 Araújo, Rawlilson O. [UNESP]
author_facet Araújo, Rawlilson O. [UNESP]
Marinho, Sheyla S.
Prates Filho, Julio S.
author_role author
author2 Marinho, Sheyla S.
Prates Filho, Julio S.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
State University of Maringá
dc.contributor.author.fl_str_mv Araújo, Rawlilson O. [UNESP]
Marinho, Sheyla S.
Prates Filho, Julio S.
dc.subject.por.fl_str_mv Bresse system
Energy decay
Infinite memory
Visco-elasticity
topic Bresse system
Energy decay
Infinite memory
Visco-elasticity
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.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-15
2022-04-28T19:27:11Z
2022-04-28T19:27:11Z
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/j.amc.2019.04.074
Applied Mathematics and Computation, v. 387.
0096-3003
http://hdl.handle.net/11449/221299
10.1016/j.amc.2019.04.074
2-s2.0-85065815973
url http://dx.doi.org/10.1016/j.amc.2019.04.074
http://hdl.handle.net/11449/221299
identifier_str_mv Applied Mathematics and Computation, v. 387.
0096-3003
10.1016/j.amc.2019.04.074
2-s2.0-85065815973
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.source.none.fl_str_mv Scopus
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
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