2015-06-232015-06-2320120022-0396http://hdl.handle.net/11441/25946In 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.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.02D-Navier-Stokes equationsPullback attractorsTempered behaviourinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.jde.2012.01.010https://idus.us.es/xmlui/handle/11441/25946