Convergence to a terrace solution in multistable reaction-diffusion equation with discontinuities

被引：0
|
作者：
Giletti, Thomas [1 ]
Kim, Ho-Youn [2 ]
机构：
[1] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, F-54506 Vandoeuvre Les Nancy, France
[2] Comp Elect & Math Sci & Engn Div, 4700 King Abdullah Univ Sci & Technol, Thuwal 239556900, Saudi Arabia
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 74卷
基金：
新加坡国家研究基金会;
关键词：
Terrace solution; Multiple traveling fronts; Discontinuous multistable reaction; function; Reaction diffusion model; Large-time dynamics;
D O I：
10.1016/j.nonrwa.2023.103924
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we address the large-time behavior of solutions of bistable and multistable reaction-diffusion equation with discontinuities around the stable steady states. We show that the solution always converges to a special solution, which may either be a traveling wave in the bistable case, or more generally a terrace (i.e. a collection of stacked traveling waves with ordered speeds) in the multistable case. & COPY; 2023 Elsevier Ltd. All rights reserved.
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