Article
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
Author/s | García Luengo, Julia María
Marín Rubio, Pedro Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2011 |
Deposit Date | 2015-06-23 |
Published in |
|
Abstract | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
file_1.pdf | 161.2Kb | [PDF] | View/ | |