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: | Artigo |
| Data de publicação: | 2006 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23703 |
| Acesso em linha: | http://hdl.handle.net/11441/23703 https://doi.org/10.1016/j.crma.2005.12.015 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Pullback attractors non-autonomous 2D Navier-Stokes equations |
| Resumo: | 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. |
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