The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system
The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking mechanisms and the exact blow-up rate of s...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Gordon and Breach
2014
|
| Online Access: | http://hdl.handle.net/20.500.11937/31844 |
| _version_ | 1848753496890802176 |
|---|---|
| author | Ming, Sen Yang, Han Wu, Yong Hong |
| author_facet | Ming, Sen Yang, Han Wu, Yong Hong |
| author_sort | Ming, Sen |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking mechanisms and the exact blow-up rate of strong solutions to the system are presented. Moreover, a global existence result for strong solutions is derived. |
| first_indexed | 2025-11-14T08:25:27Z |
| format | Journal Article |
| id | curtin-20.500.11937-31844 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:25:27Z |
| publishDate | 2014 |
| publisher | Gordon and Breach |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-318442017-09-13T15:15:33Z The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system Ming, Sen Yang, Han Wu, Yong Hong The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking mechanisms and the exact blow-up rate of strong solutions to the system are presented. Moreover, a global existence result for strong solutions is derived. 2014 Journal Article http://hdl.handle.net/20.500.11937/31844 10.1155/2014/801941 Gordon and Breach fulltext |
| spellingShingle | Ming, Sen Yang, Han Wu, Yong Hong The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title_full | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title_fullStr | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title_full_unstemmed | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title_short | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
| title_sort | cauchy problem for a weakly dissipative 2-component camassa-holm system |
| url | http://hdl.handle.net/20.500.11937/31844 |