On the Global Dissipative and Multipeakon Dissipative Behavior of the Two-Component Camassa-Holm System

Yujuan Wang, Yongduan Song and Hamid Reza Karimi

Abstract and Applied Analysis, 2014, vol. 2014, 1-16

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:348695

DOI: 10.1155/2014/348695

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