Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
Analysis of PDEs
2022-01-17 v1
Abstract
We show existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line with nonvanishing and distinct spatial asymptotics. The influence from the second component in the 2CH system on the regularity of the solution, and, in particular, the consequences for wave breaking, is discussed. Furthermore, the interplay between dissipative and conservative solutions is treated.
Keywords
Cite
@article{arxiv.1301.1445,
title = {Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics},
author = {Katrin Grunert and Helge Holden and Xavier Raynaud},
journal= {arXiv preprint arXiv:1301.1445},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1111.3188