Advances in Difference Equations
Volume 2010 (2010), Article ID 512812, 30 pages
doi:10.1155/2010/512812
Research Article

Attractor for a Viscous Coupled Camassa-Holm Equation

Lixin Tian and Ying Xu

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received 8 February 2010; Accepted 30 August 2010

Academic Editor: Yongwimon Lenbury

Copyright © 2010 Lixin Tian and Ying Xu. 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

The global existence of solution to a viscous coupled Camassa-Holm equation with the periodic boundary condition is investigated. We obtain the compact and bounded absorbing set and the existence of the global attractor for the viscous coupled Camassa-Holm equation in H2 by uniform prior estimate.