The Finite‐Dimensional Uniform Attractors for the Nonautonomous g‐Navier‐Stokes Equations

Delin Wu

Journal of Applied Mathematics, 2009, vol. 2009, issue 1

Abstract: We consider the uniform attractors for the two dimensional nonautonomous g‐Navier‐Stokes equations in bounded domain Ω. Assuming f=f(x,t)∈Lloc2, we establish the existence of the uniform attractor in L2(Ω) and D(A1/2). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

Date: 2009
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https://doi.org/10.1155/2009/150420

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2009:y:2009:i:1:n:150420

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