Journal of Applied Mathematics
Volume 2009 (2009), Article ID 150420, 17 pages
doi:10.1155/2009/150420
Research Article

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

Delin Wu

College of Science, China Jiliang University, Hangzhou 310018, China

Received 3 July 2008; Accepted 17 January 2009

Academic Editor: Alberto Tesi

Copyright © 2009 Delin Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.