title: |
Global Dissipative Solutions of the Generalized Camassa-Holm Equation |
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publication: |
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| volume-issue: | 15 - Supplement 2 | |
| pages: | 96 - 115 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s2.8 (how to use a DOI) | |
author(s): |
Octavian G Mustafa |
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publication date: |
August 2008 |
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abstract: |
A new approach to the analysis of wave-breaking solutions to the generalized Camassa-Holm equation is presented in this paper. Introduction of a set of variables allows for solving the singularities. A continuous semigroup of dissipative solutions is also built. The solutions have non-increasing H1 energy and thus energy loss occurs only through wave breaking. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |