The Cauchy problem of a periodic 2-component \mu-Hunter-Saxton system in   Besov spaces
  This paper is concerned with the local well-posedness and the precise blow-up scenario for a periodic 2-component \mu-Hunter-Saxton system in Besov spaces. Moreover, we state a new global existence result to the system. Our obtained results for the system improve considerably earlier results. 
Jingjing Liu
math.AP