Topological Structural Stability of Partial Differential Equations on Projected Spaces

Detalhes bibliográficos
Autor(a) principal: Aragão-Costa, E. R.
Data de Publicação: 2018
Outros Autores: Figueroa-López, R. N. [UNESP], Langa, J. A., Lozada-Cruz, G. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10884-016-9567-x
http://hdl.handle.net/11449/174010
Resumo: In this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization of global attractors for projected Banach spaces, generalizing previous results for small perturbations of partial differential equations. We apply the results to an abstract semilinear equation with Dumbbell type domains and to an abstract evolution problem discretized by the finite element method.
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spelling Topological Structural Stability of Partial Differential Equations on Projected SpacesAttractorsDumbbell domainsGradient semigroupsStructural stabilityIn this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization of global attractors for projected Banach spaces, generalizing previous results for small perturbations of partial differential equations. We apply the results to an abstract semilinear equation with Dumbbell type domains and to an abstract evolution problem discretized by the finite element method.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Consejería de Economía, Innovación, Ciencia y Empleo, Junta de AndalucíaSecretaría de Estado de Investigación, Desarrollo e InnovaciónInstituto de Ciências Matemáticas e de Computação Campus de São Carlos Universidade de São PauloDepartamento de Matemática IBILCE Universidade Estadual Paulista (UNESP), São José do Rio PretoDepartamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla (US)Departamento de Matemática IBILCE Universidade Estadual Paulista (UNESP), São José do Rio PretoFAPESP: 09/08435-0FAPESP: 2013/21155-2FAPESP: 2014/02899-3FAPESP: 2014/19915-1Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía: FQM-1492Secretaría de Estado de Investigación, Desarrollo e Innovación: MTM2015-63723-PUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Universidad de Sevilla (US)Aragão-Costa, E. R.Figueroa-López, R. N. [UNESP]Langa, J. A.Lozada-Cruz, G. [UNESP]2018-12-11T17:08:44Z2018-12-11T17:08:44Z2018-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article687-718application/pdfhttp://dx.doi.org/10.1007/s10884-016-9567-xJournal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, 2018.1572-92221040-7294http://hdl.handle.net/11449/17401010.1007/s10884-016-9567-x2-s2.0-850074923872-s2.0-85007492387.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Dynamics and Differential Equations1,208info:eu-repo/semantics/openAccess2024-01-12T06:30:35Zoai:repositorio.unesp.br:11449/174010Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-12T06:30:35Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Topological Structural Stability of Partial Differential Equations on Projected Spaces
title Topological Structural Stability of Partial Differential Equations on Projected Spaces
spellingShingle Topological Structural Stability of Partial Differential Equations on Projected Spaces
Aragão-Costa, E. R.
Attractors
Dumbbell domains
Gradient semigroups
Structural stability
title_short Topological Structural Stability of Partial Differential Equations on Projected Spaces
title_full Topological Structural Stability of Partial Differential Equations on Projected Spaces
title_fullStr Topological Structural Stability of Partial Differential Equations on Projected Spaces
title_full_unstemmed Topological Structural Stability of Partial Differential Equations on Projected Spaces
title_sort Topological Structural Stability of Partial Differential Equations on Projected Spaces
author Aragão-Costa, E. R.
author_facet Aragão-Costa, E. R.
Figueroa-López, R. N. [UNESP]
Langa, J. A.
Lozada-Cruz, G. [UNESP]
author_role author
author2 Figueroa-López, R. N. [UNESP]
Langa, J. A.
Lozada-Cruz, G. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Universidad de Sevilla (US)
dc.contributor.author.fl_str_mv Aragão-Costa, E. R.
Figueroa-López, R. N. [UNESP]
Langa, J. A.
Lozada-Cruz, G. [UNESP]
dc.subject.por.fl_str_mv Attractors
Dumbbell domains
Gradient semigroups
Structural stability
topic Attractors
Dumbbell domains
Gradient semigroups
Structural stability
description In this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization of global attractors for projected Banach spaces, generalizing previous results for small perturbations of partial differential equations. We apply the results to an abstract semilinear equation with Dumbbell type domains and to an abstract evolution problem discretized by the finite element method.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:08:44Z
2018-12-11T17:08:44Z
2018-06-01
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/10.1007/s10884-016-9567-x
Journal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, 2018.
1572-9222
1040-7294
http://hdl.handle.net/11449/174010
10.1007/s10884-016-9567-x
2-s2.0-85007492387
2-s2.0-85007492387.pdf
url http://dx.doi.org/10.1007/s10884-016-9567-x
http://hdl.handle.net/11449/174010
identifier_str_mv Journal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, 2018.
1572-9222
1040-7294
10.1007/s10884-016-9567-x
2-s2.0-85007492387
2-s2.0-85007492387.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Dynamics and Differential Equations
1,208
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 687-718
application/pdf
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
_version_ 1803047332120363008

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