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. © 2014 Yujuan Wang et al.
| Original language | English |
|---|---|
| Article number | 348695 |
| Journal | Abstract and Applied Analysis |
| Volume | 2014 |
| Early online date | 5 Apr 2014 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
Funding
This work was supported in part by the Major State Basic Research Development Program 973 (no. 2012CB215202), the National Natural Science Foundation of China (no. 61134001), and the Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education.