Abstract and Applied Analysis
Volume 2012 (2012), Article ID 327572, 15 pages
http://dx.doi.org/10.1155/2012/327572
Research Article

On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System

Xiuming Li

School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China

Received 3 January 2012; Accepted 15 February 2012

Academic Editor: Valery Covachev

Copyright © 2012 Xiuming Li. 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 establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global existence result for the system with (u0,η0)∈H1(ℝ)×L2(ℝ).