Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another universe given by a tempered condition. The existence of pullback attractor...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25946 |
| Acceso en línea: | http://hdl.handle.net/11441/25946 https://doi.org/10.1016/j.jde.2012.01.010 |
| Access Level: | acceso abierto |
| Palabra clave: | 2D-Navier-Stokes equations Pullback attractors Tempered behaviour |
| Sumario: | In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another universe given by a tempered condition. The existence of pullback attractors in these different universes is established, and thanks to regularity properties, the relation between these several families of attractors and the corresponding in H is successfully studied. Finally, two results about the tempered behaviour in V and (H2(Ω))2 of the pullback attractors, when time goes to −∞, are obtained. |
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