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

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).

Bibliographic Details
Main Author: Xiuming Li
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/327572