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

Delin Wu

Journal of Applied Mathematics, 2009, vol. 2009, 1-17

Abstract:

We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain Ω . Assuming ð ‘“ = ð ‘“ ( ð ‘¥ , ð ‘¡ ) ∈ ð ¿ 2 l o c , we establish the existence of the uniform attractor in ð ¿ 2 ( Ω ) and ð · ( ð ´ 1 / 2 ) . The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:150420

DOI: 10.1155/2009/150420

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