Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Moon, Byungsoo¹  Liu, Yue¹ 

[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

关键词: Generalized Hunter-Saxton system;    Local well-posedness;    Blow-up;    Wave breaking;    Global existence;   

DOI  :  10.1016/j.jde.2012.02.011

来源: Elsevier

【 摘 要 】

In this paper, we study the wave-breaking phenomena and global existence for the generalized two-component Hunter-Saxton system in the periodic setting. We first establish local well-posedness for the generalized two-component Hunter-Saxton system. We obtain a wave-breaking criterion for solutions and results of wave-breaking solutions with certain initial profiles. We also determine the exact blow-up rate of strong solutions. Finally, we give a sufficient condition for global solutions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free