%0 Journal Article
%T On the Cauchy problem of a periodic 2-component $¦Ì$-Hunter-Saxton equation
%A Jingjing Liu
%A Zhaoyang Yin
%J Mathematics
%D 2010
%I arXiv
%X In this paper, we study the Cauchy problem of a periodic 2-component $\mu$-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component $\mu$-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.
%U http://arxiv.org/abs/1012.5349v2