Global weak solution for a periodic generalized Hunter-Saxton equation
- 作者：Xuemei Wei wxm_gdut@163.com
- 关键词：Generalized Hunter&ndash ; Saxton equation ; Weak solution ; Global existence
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2012
- 期刊代码：76_0022247x
- 类别：mt
- 出版时间：15 July, 2012
- 卷：391
- 期：2
- 页码：530-543
- 文件大小：207 K
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.