Global weak solution for a periodic generalized Hunter-Saxton equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Wei, Xuemei

关键词: Generalized Hunter-Saxton equation;    Weak solution;    Global existence;   

DOI  :  10.1016/j.jmaa.2012.02.062

来源: Elsevier

【 摘 要 】

In this paper, we consider a periodic generalized Hunter-Saxton equation. We obtain the existence of global weak solutions to the equation. First, we give the well-posedness result of the viscous approximate equations and establish the basic energy estimates. Then, we show that the limit of the viscous approximation solutions is a global weak solution to the equation. (C) 2012 Published by Elsevier Inc.

【 授权许可】

Free