Lipschitz metric for the modified two-component Camassa-Holm system
Analysis of PDEs
2015-10-15 v1
Abstract
This paper is devoted to the existence and Lipschitz continuity of global conservative weak solutions in time for the modified two-component Camassa-Holm system on the real line. We obtain the global weak solutions via a coordinate transformation into the Lagrangian coordinates. The key ingredients in our analysis are the energy density given by the positive Radon measure and the proposed new distance functions as well.
Keywords
Cite
@article{arxiv.1510.03946,
title = {Lipschitz metric for the modified two-component Camassa-Holm system},
author = {Chunxia Guan and Kai Yan and Xuemei Wei},
journal= {arXiv preprint arXiv:1510.03946},
year = {2015}
}
Comments
23 pages with no figure