Artículo
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
Autor/es | García Luengo, Julia María
Marín Rubio, Pedro Real Anguas, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2011 |
Fecha de depósito | 2015-06-23 |
Publicado en |
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Resumen | 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 ... 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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