Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow

Producción Científica

Detalles Bibliográficos
Autores: Obaya, Rafael, Sanz Gil, Ana María
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/58612
Acceso en línea:https://doi.org/10.1016/j.jde.2021.03.027
https://uvadoc.uva.es/handle/10324/58612
Access Level:acceso abierto
Palabra clave:Non-autonomous dynamical systems
Global and cocycle attractors
Linear-dissipative PDEs
Purely dissipative PDEs
Li-Yorke chaos
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spelling Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flowObaya, RafaelSanz Gil, Ana MaríaNon-autonomous dynamical systemsGlobal and cocycle attractorsLinear-dissipative PDEsPurely dissipative PDEsLi-Yorke chaosProducción CientíficaIn this paper a family of non-autonomous scalar parabolic PDEs over a general compact and connected flow is considered. The existence or not of a neighbourhood of zero where the problems are linear has an influence on the methods used and on the dynamics of the induced skew-product semiflow. That is why two cases are distinguished: linear-dissipative and purely dissipative problems. In both cases, the structure of the global and pullback attractors is studied using principal spectral theory. Besides, in the purely dissipative setting, a simple condition is given, involving both the underlying linear dynamics and some properties of the nonlinear term, to determine the nontrivial sections of the attractorFEDER Ministerio de Economía y Competitividad MTM2015-66330-P y RTI2018-096523-B-I00Universidad de Valladolid PIP-TCESC-2020Elsevier2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1016/j.jde.2021.03.027https://uvadoc.uva.es/handle/10324/58612reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://www.sciencedirect.com/science/article/abs/pii/S0022039621001844?via%3Dihubinfo:eu-repo/semantics/openAccessoai:uvadoc.uva.es:10324/586122026-06-13T12:44:47Z
dc.title.none.fl_str_mv Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
title Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
spellingShingle Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
Obaya, Rafael
Non-autonomous dynamical systems
Global and cocycle attractors
Linear-dissipative PDEs
Purely dissipative PDEs
Li-Yorke chaos
title_short Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
title_full Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
title_fullStr Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
title_full_unstemmed Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
title_sort Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
dc.creator.none.fl_str_mv Obaya, Rafael
Sanz Gil, Ana María
author Obaya, Rafael
author_facet Obaya, Rafael
Sanz Gil, Ana María
author_role author
author2 Sanz Gil, Ana María
author2_role author
dc.subject.none.fl_str_mv Non-autonomous dynamical systems
Global and cocycle attractors
Linear-dissipative PDEs
Purely dissipative PDEs
Li-Yorke chaos
topic Non-autonomous dynamical systems
Global and cocycle attractors
Linear-dissipative PDEs
Purely dissipative PDEs
Li-Yorke chaos
description Producción Científica
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/j.jde.2021.03.027
https://uvadoc.uva.es/handle/10324/58612
url https://doi.org/10.1016/j.jde.2021.03.027
https://uvadoc.uva.es/handle/10324/58612
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/abs/pii/S0022039621001844?via%3Dihub
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
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