Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 348695, 16 pages.
On the Global Dissipative and Multipeakon Dissipative Behavior of the Two-Component Camassa-Holm System
The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallow water system after wave breaking was studied in this paper. The underlying approach is based on a skillfully defined characteristic and a set of newly introduced variables which transform the original system into a Lagrangian semilinear system. It is the transformation, together with the associated properties, that allows for the continuity of the solution beyond collision time to be established, leading to a uniquely global dissipative solution, which constructs a semigroup, and the multipeakon dissipative solution.
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 348695, 16 pages.
First available in Project Euclid: 2 October 2014
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Wang, Yujuan; Song, Yongduan; Karimi, Hamid Reza. On the Global Dissipative and Multipeakon Dissipative Behavior of the Two-Component Camassa-Holm System. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 348695, 16 pages. doi:10.1155/2014/348695. https://projecteuclid.org/euclid.aaa/1412278524