分数阶拉普拉斯反应扩散方程解的扩散现象

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-28 DOI:10.1016/j.aml.2025.109698

Luyi Ma , Hong-Tao Niu , Zhi-Cheng Wang

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引用次数: 0

摘要

研究了分数阶拉普拉斯反应扩散方程的柯西问题。结果表明，当初始值为紧支撑且支撑宽度足够大时，分数阶拉普拉斯反应扩散方程的解将扩展到1。另外，平面行波前的速度c也是传播速度。

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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The spreading phenomenon of solutions for reaction–diffusion equations with fractional Laplacian

This paper is concerned with the Cauchy problem for the reaction–diffusion equations with fractional Laplacian. We showed that when the initial value is compactly supported and the support width is large enough, the solution for the reaction–diffusion equations with fractional Laplacian will spread to 1. In addition, the speed

c

of planar traveling wave front is also the spreading speed.

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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.