广义Fornberg-Whitham方程的破波准则

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-09-25 DOI:10.1016/j.jde.2025.113795

Changtai Zhou, Shaoyong Lai

引用次数: 0

摘要

研究了一类广义Fornberg-Whitham方程的爆破特征。利用L2守恒定律和构造Lyapunov函数的方法，给出了方程发生破波的充分条件。在一定的假设条件下，我们的破波结果提高了Wei (2023) b[25]的破波标准。

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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Wave breaking criteria for a generalized Fornberg-Whitham equation

The blowup features for a generalized Fornberg-Whitham equation are investigated on the line. Using the

L^{2}

conservation law and the method to construct Lyapunov functions, sufficient conditions ensuring that wave breaking occurs for the equation are provided. Under certain assumptions, our wave breaking results improve the wave breaking criteria in Wei (2023) [25].

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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