Local-in-space blow-up of a weakly dissipative generalized Dullin–Gottwald–Holm equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-26 DOI:10.1016/j.aml.2024.109445

Wenguang Cheng, Bingqi Li

引用次数: 0

Abstract

This paper addresses the problems of blow-up for a weakly dissipative generalized Dullin–Gottwald–Holm equation. A new sufficient condition on the initial data is provided to ensure the finite time local-in-space blow-up of strong solutions, which improves the local-in-space blow-up result of Novruzov and Yazar [1].

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一类弱耗散广义Dullin-Gottwald-Holm方程的空间局部爆破

研究了一类弱耗散广义Dullin-Gottwald-Holm方程的爆破问题。在初始数据上给出了保证强解有限时间局域爆破的新充分条件，改进了Novruzov和Yazar[1]的局域爆破结果。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.