Global weak solution for a periodic generalized Hunter-Saxton equation

被引：8

作者：

Wei, Xuemei ^{[1
]}

机构：

[1] Guangdong Univ Technol, Fac Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 391卷 / 02期

关键词：

Generalized Hunter-Saxton equation; Weak solution; Global existence; HYPERBOLIC VARIATIONAL EQUATION; SHALLOW-WATER EQUATION; ASYMPTOTIC EQUATION; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.jmaa.2012.02.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：530 / 543

页数：14

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