Local solution becomes global solution as damping coefficient goes to infinity

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-05-10 DOI:10.1016/j.aml.2025.109599

Jiangbo Han , Caijun Wang , Runzhang Xu , Chao Yang

引用次数: 0

Abstract

We consider a class of wave equations with strong damping, weak damping and nonlinear source term. By constructing the relationship between the blowup time and the coefficients of strong damping and weak damping, we exhibit and verify an interesting phenomenon that the local solution becomes the global solution as the coefficient of strong damping or weak damping goes to infinity.

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当阻尼系数趋于无穷时，局部解变为全局解

考虑一类具有强阻尼、弱阻尼和非线性源项的波动方程。通过构造爆破时间与强阻尼系数和弱阻尼系数之间的关系，我们展示并验证了一个有趣的现象，即当强阻尼系数或弱阻尼系数趋于无穷时，局部解变成了全局解。

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.