Topological Structural Stability of Partial Differential Equations on Projected Spaces
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
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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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:29462024-08-05T22:48:33.912886Repositório 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_ |
1808129464359452672 |