Boundary Value Problems
Volume 2008 (2008), Article ID 831746, 12 pages
The Uniform Attractors for the Nonhomogeneous 2D Navier-Stokes Equations in Some Unbounded Domain
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 with nonhomogeneous boundary conditions. We apply the so-called uniformly -limit compact approach to nonhomogeneous Navier-Stokes equation as well as a method to verify it. Assuming , which is translation compact and asymptotically almost periodic, we establish the existence of the uniform attractor in ().