Journal of Nonlinear Mathematical Physics

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Volume 15, Issue Supplement 2, August 2008, Pages 96 - 115

Global Dissipative Solutions of the Generalized Camassa-Holm Equation

Authors
Octavian G. Mustafa
Corresponding Author
Octavian G. Mustafa
Received 12 February 2008, Revised 22 April 2008, Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.s2.8How to use a DOI?
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.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - Supplement 2
Pages
96 - 115
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s2.8How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Octavian G. Mustafa
PY  - 2008
DA  - 2008/08/01
TI  - Global Dissipative Solutions of the Generalized Camassa-Holm Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 96
EP  - 115
VL  - 15
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s2.8
DO  - 10.2991/jnmp.2008.15.s2.8
ID  - Mustafa2008
ER  -