%0 Journal Article %T Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system %A Jingjing Liu %A Zhaoyang Yin %J Mathematics %D 2010 %I arXiv %X This paper is concerned with blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system. We first derive the precise blow-up scenario for strong solutions to the system. Then, we present several new blow-up results of strong solutions and a new global existence result to the system. Our obtained results for the system are sharp and improve considerably earlier results. %U http://arxiv.org/abs/1012.5448v3