English

Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system

Analysis of PDEs 2011-03-28 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1012.5448,
  title  = {Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system},
  author = {Jingjing Liu and Zhaoyang Yin},
  journal= {arXiv preprint arXiv:1012.5448},
  year   = {2011}
}