Persistence properties of the solutions to a generalized two-component Camassa-Holm shallow water system

被引：5

作者：

Zhu, Yuan ^{[1
]}

Fu, Fengyun ^{[1
]}

机构：

[1] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 128卷

关键词：

Generalized two-component; Camassa-Holm system; Cauchy problem; Persistence properties; Exponential decay; Algebraical decay; BLOW-UP PHENOMENA; GLOBAL EXISTENCE; WELL-POSEDNESS; WAVE-BREAKING; EQUATION; STABILITY;

D O I：

10.1016/j.na.2015.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem for a generalized two-component Camassa Holm shallow water system. We prove that the solution will maintain the corresponding properties at infinity within its lifespan provided the initial data decay exponentially and algebraically, respectively. (c) 2015 Elsevier Ltd. All rights reserved.

引用

页码：77 / 85

页数：9

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