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

Delin Wu

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-16

Abstract:

We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω . Assuming that ð ‘“ ∈ ð ¿ 2 l o c , which is translation bounded, the existence of the pullback attractor is proved in ð ¿ 2 ( Ω ) and ð » 1 ( Ω ) . It is proved that the fractal dimension of the pullback attractor is finite.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:893240

DOI: 10.1155/2010/893240

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