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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 327572, 15 pages
doi:10.1155/2012/327572
Research Article
On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System
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 .