Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic compactness and the existence of a pullback absorbing...
| Autores: | ; ; |
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| Tipo de documento: | 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:11441/23703 |
| Acceso en línea: | http://hdl.handle.net/11441/23703 https://doi.org/10.1016/j.crma.2005.12.015 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Pullback attractors non-autonomous 2D Navier-Stokes equations |
| _version_ | 1878731832861655040 |
|---|---|
| author | Caraballo Garrido, Tomás |
| author2 | Lukaszewicz, Grzegorz Real Anguas, José |
| author2_role | author author |
| author_browse | Caraballo Garrido, Tomás Lukaszewicz, Grzegorz Real Anguas, José |
| author_facet | Caraballo Garrido, Tomás Lukaszewicz, Grzegorz Real Anguas, José |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| description | In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic compactness and the existence of a pullback absorbing family of sets. Finally, we prove the existence of a pullback attractor for a non-autonomous 2D Navier-Stokes model in an unbounded domain, a case in which the theory of uniform attractors does not work since the non-autonomous term is quite general. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_377d8c5f5f1e7db0b7b4228daae47d5f |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:idus.us.es:11441/23703 |
| publishDate | 2006 |
| publishDateSort | 2006 |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains Caraballo Garrido, Tomás Lukaszewicz, Grzegorz Real Anguas, José Pullback attractors non-autonomous 2D Navier-Stokes equations In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic compactness and the existence of a pullback absorbing family of sets. Finally, we prove the existence of a pullback attractor for a non-autonomous 2D Navier-Stokes model in an unbounded domain, a case in which the theory of uniform attractors does not work since the non-autonomous term is quite general. http://hdl.handle.net/11441/23703 https://doi.org/10.1016/j.crma.2005.12.015 |
| spellingShingle | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains Caraballo Garrido, Tomás Pullback attractors non-autonomous 2D Navier-Stokes equations |
| title | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| title_full | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| title_fullStr | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| title_full_unstemmed | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| title_short | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| title_sort | Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains |
| topic | Pullback attractors non-autonomous 2D Navier-Stokes equations |
| topic_facet | Pullback attractors non-autonomous 2D Navier-Stokes equations |
| url | http://hdl.handle.net/11441/23703 https://doi.org/10.1016/j.crma.2005.12.015 |