Journal of Applied Mathematics

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

Delin Wu

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We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain Ω . Assuming f = f ( x , t ) L loc 2 , we establish the existence of the uniform attractor in L 2 ( Ω ) and D ( A 1 / 2 ) . The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

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J. Appl. Math., Volume 2009 (2009), Article ID 150420, 17 pages.

First available in Project Euclid: 2 March 2010

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Wu, Delin. The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations. J. Appl. Math. 2009 (2009), Article ID 150420, 17 pages. doi:10.1155/2009/150420.

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