Existence and Asymptotic Stability of a Stationary Boundary-Layer Solution of the Two-Dimensional Reaction-Diffusion-Advection Problem

被引：2

作者：

Levashova, N. T. ^{[1
]}

Nefedov, N. N. ^{[1
]}

Nikolaeva, O. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

PERIODIC CONTRAST STRUCTURES; MODULAR NONLINEARITY; FRONT MOTION; EQUATIONS;

D O I：

10.1134/S0012266120020068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and the Lyapunov asymptotic stability of a stationary boundary layer solution of the initial-boundary value problem for a two-dimensional singularly perturbed reaction-diffusion-advection equation. We construct an asymptotic approximation to this solution using the boundary function method. The proofs are based on the applicability of the asymptotic method of differential inequalities.

引用

页码：199 / 211

页数：13

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