Abstract and Applied Analysis

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

Xiuming Li

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We establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a globalexistence result for the system with ( u 0 , η 0 ) H 1 ( ) × L 2 ( ) .

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Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 327572, 15 pages.

First available in Project Euclid: 5 April 2013

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Li, Xiuming. On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 327572, 15 pages. doi:10.1155/2012/327572. https://projecteuclid.org/euclid.aaa/1365174040

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