Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 893240, 16 pages
doi:10.1155/2010/893240
Research Article

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

Delin Wu

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

Received 3 June 2010; Accepted 14 November 2010

Academic Editor: Binggen Zhang

Copyright © 2010 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 asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω . Assuming that 𝑓 ∈ 𝐿 2 l o c , which is translation bounded, the existence of the pullback attractor is proved in 𝐿 2 ( Ω ) and 𝐻 1 ( Ω ) . It is proved that the fractal dimension of the pullback attractor is finite.