Global Existence and Blow-Up Phenomena for the Periodic Hunter—Saxton Equation with Weak Dissipation

被引：0
作者：
Xuemei Wei
Zhaoyang Yin
机构：
[1] Guangdong University of Technology,Faculty of Applied Mathematics
[2] Sun Yat-sen University,Department of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2011年 / 18卷
关键词：
The Hunter—Saxton equation; weak dissipation; blow-up; blow-up rate; global solution; 35G25; 35L05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the periodic Hunter—Saxton equation with weak dissipation. We first establish the local existence of strong solutions, blow-up scenario and blow-up criteria of the equation. Then, we investigate the blow-up rate for the blowing-up solutions to the equation. Finally, we prove that the equation has global solutions.
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页码：139 / 149
页数：10
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