Global Dissipative Solutions of the Generalized Camassa-Holm Equation
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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.
- © 2008, the Authors. Published by Atlantis Press.
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Cite this article
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 -