Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2022-12-19 DOI:10.1155/2022/6955014

Ying Zhang, Congming Peng

引用次数: 0

Abstract

In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the induced solutions are described in detail. Finally, we establish a sufficient condition for global solutions.

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弱耗散广义周期Camassa-Holm方程的破波和整体存在性

本文研究了一类弱耗散周期Camassa-Holm型方程的三次和四次非线性。详细描述了强解的精确爆破场景以及初始数据上保证诱导解爆破的几个条件。最后，我们建立了全局解的一个充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.