The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)
| dc.contributor.author | Lai, S. | |
| dc.contributor.author | Li, N. | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T11:24:04Z | |
| dc.date.available | 2017-01-30T11:24:04Z | |
| dc.date.created | 2013-12-11T04:18:01Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Lai, Shaoyong and Li, Nan and Wu, Yonghong. 2013. The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R). Boundary Value Problems. 2013: 26. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/11326 | |
| dc.identifier.doi | 10.1186/1687-2770-2013-26 | |
| dc.description.abstract |
The existence of global weak solutions to the Cauchy problem for a weakly dissipative Camassa-Holm equation is established in the space C([0,∞)×R)nL∞([0,∞);H1(R)) under the assumption that the initial value u 0 (x) only belongs to the space H 1 (R) . The limit of viscous approximations, a one-sided super bound estimate and a space-time higher-norm estimate for the equation are established to prove the existence of the global weak solution. | |
| dc.publisher | SpringerOpen | |
| dc.subject | global weak solution | |
| dc.subject | Camassa-Holm type equation | |
| dc.subject | existence | |
| dc.title | The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R) | |
| dc.type | Journal Article | |
| dcterms.source.volume | 2013 | |
| dcterms.source.startPage | 2013:26 | |
| dcterms.source.endPage | 2013:26 | |
| dcterms.source.issn | 1687-2762 | |
| dcterms.source.title | Boundary Value Problems | |
| curtin.note |
This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License | |
| curtin.department | ||
| curtin.accessStatus | Open access |