一些卡马萨-霍姆型方程的改进炸毁标准

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-09-19 DOI:10.1016/j.jde.2024.09.022

Rudong Zheng

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引用次数: 0

摘要

我们研究了线上一些可积分卡马萨-霍姆型方程的炸毁现象。对于双分量卡马萨-霍尔姆系统，我们给出了导致炸毁的初始数据的充分条件。对于 Degasperis-Procesi 方程，我们建立了一个局部空间炸毁准则，大大改进了基于符号变化动量的早期准则。此外，我们还为 Novikov 方程和修正的 Camassa-Holm 方程获得了一些新的炸毁判据。

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Improved blow-up criteria for some Camassa-Holm type equations

We study the blow-up phenomena for some integrable Camassa-Holm type equations on the line. For the two-component Camassa-Holm system, we give a sufficient condition on the initial data that leads to a blow-up. For the Degasperis-Procesi equation, we establish a local-in-space blow-up criterion which improves considerably the early criterion based on the sign-changing momentum. Besides, we obtain some new blow-up criteria for the Novikov equation and the modified Camassa-Holm equation.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics