On the Cauchy problem of a periodic 2-component $\mu$-Hunter-Saxton equation
Analysis of PDEs
2011-03-28 v2
Abstract
In this paper, we study the Cauchy problem of a periodic 2-component -Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component -Hunter-Saxton system by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the system. Moreover, we present a blow-up result for strong solutions to the system. Finally, we give a global existence result to the system.
Keywords
Cite
@article{arxiv.1012.5349,
title = {On the Cauchy problem of a periodic 2-component $\mu$-Hunter-Saxton equation},
author = {Jingjing Liu and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1012.5349},
year = {2011}
}