The existence of global weak solutions for a generalized Camassa-Holm equation

被引：2

作者：

Tu, Xi ^{[1
]}

Yin, Zhaoyang ^{[2
,3
]}

机构：

[1] Foshan Univ, Dept Math, Foshan, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China

[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 03期

关键词：

A generalized Camassa-Holm equation; global weak solution; the viscous approximation method; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CAUCHY-PROBLEM; WELL-POSEDNESS; INTEGRABLE EQUATION; SHOCK-WAVES; TRAJECTORIES; BREAKING;

D O I：

10.1080/00036811.2020.1758313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly study the Cauchy problem of a generalized Camassa-Holm equation. We prove the existence of global weak solutions for this generalized Camassa-Holm equation by the viscous approximation method.

引用

页码：810 / 823

页数：14

共 54 条

[1]

Bahouri H, 2011, GRUNDLEHR MATH WISS, V343, P1, DOI 10.1007/978-3-642-16830-7_1

[2] Global dissipative solutions of the Camassa-Holm equation [J].