Existence and Stability of Solutions with Boundary Layers in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems

被引：17

作者：

Davydova, M. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2015年 / 98卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

singularly perturbed reaction-diffusion-advection problem; nonlinear elliptic equation with small parameter; Lyapunov stability; boundary layer; boundary layer expansion; CONTRAST STRUCTURES; EQUATIONS;

D O I：

10.1134/S0001434615110231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the boundary-value problem for a nonlinear elliptic equation containing a small parameter multiplying the derivatives and degenerating into a finite equation as the small parameter tends to zero. The existence theorem for the solution with a boundary layer and its Lyapunov stability are proved.

引用

页码：909 / 919

页数：11

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