On the dimension of the pullback attractors for -Navier-Stokes equations.
Wu, Delin (2010)
Discrete Dynamics in Nature and Society
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Wu, Delin (2010)
Discrete Dynamics in Nature and Society
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Wu, Delin (2009)
Abstract and Applied Analysis
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Wu, Delin (2008)
Boundary Value Problems [electronic only]
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V. V. Chepyzhov, M. I. Vishik (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force . We assume that is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if is a quasiperiodic function with respect to , then the attractor is a continuous image of a torus....
P. Biler (1986)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Vishik, Mark I., Chepyzhov, Vladimir V.
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Jean-Yves Chemin, Isabelle Gallagher (2009)
Annales de l'I.H.P. Analyse non linéaire
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O.V. Kapustyan, A.V. Pankov (2014)
Nonautonomous Dynamical Systems
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In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.