Finite dimensional uniform attractors for the nonautonomous Camassa-Holm equations.
Wu, Delin (2009)
Abstract and Applied Analysis
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Wu, Delin (2009)
Abstract and Applied Analysis
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Wu, Delin (2010)
Discrete Dynamics in Nature and Society
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Wu, Delin (2009)
Mathematical Problems in Engineering
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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....
Mahdi Boukrouche, Grzegorz Łukaszewicz (2008)
Banach Center Publications
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We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.
P. Biler (1986)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Geissert, M., Hieber, M.
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