H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process. Then, as a consequence, we deduce that, under adequat...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25931 |
| Acceso en línea: | http://hdl.handle.net/11441/25931 https://doi.org/10.1016/j.na.2011.04.063 |
| Access Level: | acceso abierto |
| Palabra clave: | 2D-Navier-Stokes equations Pullback attractors Invariant sets H2-regularity |
| Sumario: | We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process. Then, as a consequence, we deduce that, under adequate assumptions, the pullback attractors of the non-autonomous 2D Navier–Stokes equations are bounded not only in V but also in (H2(Ω))2. |
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