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Article
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
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 | 2012 |
Deposit Date | 2015-06-23 |
Published in |
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Abstract | 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 ... 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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