Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 390805, 12 pages
doi:10.1155/2009/390805
Research Article

The Pullback Attractors for the Nonautonomous Camassa-Holm Equations

Delin Wu

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

Received 23 September 2008; Accepted 26 May 2009

Academic Editor: Kumbakonam R. Rajagopal

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 pullback attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,L]3. Assuming f∈Lloc2((0,T);D(A−1/2)), which is translation bounded, the existence of the pullback attractor for the three-dimensional nonautonomous Camassa-Holm system is proved in D(A1/2) and D(A).