Boundary Value Problems
Volume 2008 (2008), Article ID 831746, 12 pages
Research Article

The Uniform Attractors for the Nonhomogeneous 2D Navier-Stokes Equations in Some Unbounded Domain

Delin Wu

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

Received 14 November 2006; Revised 10 May 2007; Accepted 10 January 2008

Academic Editor: Roger Temam

Copyright © 2008 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.


We consider the attractors for the two-dimensional nonautonomous Navier-Stokes equations in some unbounded domain Ω with nonhomogeneous boundary conditions. We apply the so-called uniformly ω-limit compact approach to nonhomogeneous Navier-Stokes equation as well as a method to verify it. Assuming fLloc2((0,T);L2(Ω)), which is translation compact and φCb1(+;H2(1×{±L})) asymptotically almost periodic, we establish the existence of the uniform attractor in H1(Ω).