On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations

We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor is proved in L2(Ω) and H1(Ω). It is proved that the fractal dimension of the pullback attractor is fini...

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Bibliographic Details
Main Author: Delin Wu
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/893240