Global conservative solution for the periodic $\mu$-Camassa-Holm equation
Analysis of PDEs
2024-06-19 v2
Abstract
In this paper we mainly investigate the periodic -Camassa-Holm equation. We show the existence of global conservative solutions to the Cauchy problem of the periodic -Camassa-Holm equation. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. Our solutions depend continuously on the initial data and has a semigroup property.
Cite
@article{arxiv.1609.09176,
title = {Global conservative solution for the periodic $\mu$-Camassa-Holm equation},
author = {Wei Luo and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1609.09176},
year = {2024}
}
Comments
This paper has been withdrawn by the author due to a similar result has been published