Marín Rubio, PedroReal Anguas, José2015-06-232015-06-232009Marín Rubio, P. y Real Anguas, J. (2009). On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems. Fuzzy Sets and Systems, 71 (9), 3956-3963.0362-546Xhttp://hdl.handle.net/11441/25936For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback attractor for a given class D of families of time varying subsets of the phase space. We relate this concept with the usual attractor of fixed bounded sets, pointing out its usefulness in order to ensure the existence of this last attractor in particular situations. Moreover, we prove that under a simple assumption these two notions of attractors generate, in fact, the same object. This is then applied to a Navier–Stokes model, improving some previous results on attractor theory.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Pullback attractorsNon-autonomous dynamical systemsTempered setsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.na.2009.02.065