Stability of traveling wavefronts for advection-reaction-diffusion equation

被引：0
|
作者：
Mei, Ming [1 ,2 ]
Xie, Ruijun [3 ]
机构：
[1] Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
[3] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 154卷
基金：
加拿大自然科学与工程研究理事会; 安徽省自然科学基金;
关键词：
Traveling wavefronts; Stability; Advection-reaction-diffusion equation; Minimal wave speed;
D O I：
10.1016/j.aml.2024.109075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study an advection-reaction-diffusion equation, where the nonlinear advection has neither monotonicity nor variational structure. For all wavefronts with the speed c > c(0) , where c(0) is the minimal wave speed, we use the technical weighted energy method to prove that these wavefronts are exponentially stable, when the initial perturbations are small in a weighted Sobolev space.
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页数：5
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