Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Garcia-Luengo, Julia¹  Marin-Rubio, Pedro¹  Real, Jose¹ 

[1] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

关键词: 2D-Navier-Stokes equations;    Pullback attractors;    Tempered behaviour;   

DOI  :  10.1016/j.jde.2012.01.010

来源: Elsevier

【 摘 要 】

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 (H-2(Omega))(2) of the pullback attractors, when time goes to -infinity, are obtained. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free