Pullback and forward attractors for a 3D Lans-alpha model with delay

We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the same time, we also prove the existence of a uniform (forward) attractor in the s...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Márquez Durán, Antonio Miguel, Real Anguas, José
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23699
Acceso en línea:http://hdl.handle.net/11441/23699
https://doi.org/10.3934/dcds.2006.15.559
Access Level:acceso abierto
Palabra clave:3D-Lagrangian averaged Navier-Stokes equations
Pullback attractor
Forward attractor
Variable delay
Distributed delay
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spelling Pullback and forward attractors for a 3D Lans-alpha model with delayCaraballo Garrido, TomásMárquez Durán, Antonio MiguelReal Anguas, José3D-Lagrangian averaged Navier-Stokes equationsPullback attractorForward attractorVariable delayDistributed delayWe analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the same time, we also prove the existence of a uniform (forward) attractor in the sense of Chepyzhov and Vishik. Instead of working directly with the 3D LANS model, we establish a general theory for an abstract delay model and then we apply the general results to our particular situation.Ecuaciones Diferenciales y Análisis Numérico2006info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23699https://doi.org/10.3934/dcds.2006.15.559reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems, 15(2), 559-578info:eu-repo/semantics/openAccessoai:idus.us.es:11441/236992026-06-17T12:51:07Z
dc.title.none.fl_str_mv Pullback and forward attractors for a 3D Lans-alpha model with delay
title Pullback and forward attractors for a 3D Lans-alpha model with delay
spellingShingle Pullback and forward attractors for a 3D Lans-alpha model with delay
Caraballo Garrido, Tomás
3D-Lagrangian averaged Navier-Stokes equations
Pullback attractor
Forward attractor
Variable delay
Distributed delay
title_short Pullback and forward attractors for a 3D Lans-alpha model with delay
title_full Pullback and forward attractors for a 3D Lans-alpha model with delay
title_fullStr Pullback and forward attractors for a 3D Lans-alpha model with delay
title_full_unstemmed Pullback and forward attractors for a 3D Lans-alpha model with delay
title_sort Pullback and forward attractors for a 3D Lans-alpha model with delay
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Márquez Durán, Antonio Miguel
Real Anguas, José
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Márquez Durán, Antonio Miguel
Real Anguas, José
author_role author
author2 Márquez Durán, Antonio Miguel
Real Anguas, José
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv 3D-Lagrangian averaged Navier-Stokes equations
Pullback attractor
Forward attractor
Variable delay
Distributed delay
topic 3D-Lagrangian averaged Navier-Stokes equations
Pullback attractor
Forward attractor
Variable delay
Distributed delay
description We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the same time, we also prove the existence of a uniform (forward) attractor in the sense of Chepyzhov and Vishik. Instead of working directly with the 3D LANS model, we establish a general theory for an abstract delay model and then we apply the general results to our particular situation.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23699
https://doi.org/10.3934/dcds.2006.15.559
url http://hdl.handle.net/11441/23699
https://doi.org/10.3934/dcds.2006.15.559
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems, 15(2), 559-578
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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