The Cauchy problem for coupled system of the generalized Camassa-Holm equations

被引：1
|
作者：
Ming, Sen [1 ]
Du, Jiayi [1 ]
Ma, Yaxian [1 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 08期
基金：
中国国家自然科学基金;
关键词：
local well-posedness; coupled system; generalized Camassa-Holm equations; blow-up criterion; SHALLOW-WATER EQUATION; LOCAL WELL-POSEDNESS; BLOW-UP PHENOMENA; WAVE BREAKING; UNIQUE CONTINUATION; GLOBAL EXISTENCE; TRAJECTORIES; FAMILY;
D O I：
10.3934/math.2022810
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Local well-posedness for the Cauchy problem of coupled system of generalized Camassa-Holm equations in the Besov spaces is established by employing the Littlewood-Paley theory and a priori estimate of solution to transport equation. Furthermore, the blow-up criterion of solutions to the problem is illustrated. Our main new contribution is that the effects of dissipative coefficient lambda and exponent b in the nonlinear terms to the solutions are analyzed. To the best of our knowledge, the results in Theorems 1.1 and 1.2 are new.
引用
收藏
页码：14738 / 14755
页数：18
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