The uniform attractors for the nonhomogeneous 2D Navier-Stokes equations in some unbounded domain.
Wu, Delin (2008)
Boundary Value Problems [electronic only]
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Wu, Delin (2008)
Boundary Value Problems [electronic only]
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Wu, Delin (2009)
Mathematical Problems in Engineering
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Vishik, Mark I., Chepyzhov, Vladimir V.
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Wu, Delin (2010)
Discrete Dynamics in Nature and Society
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Li, Xiaojun, Lv, Haishen (2009)
Advances in Difference Equations [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....
Dalibor Pražák, Josef Žabenský (2013)
Open Mathematics
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We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term ɛΔ3. We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponential attractor, whose dimension we estimate in terms of the relevant physical quantities, independently of ɛ > 0.
P. Biler (1986)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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