Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems

被引：0

作者：

N. N. Nefedov

M. A. Davydova

机构：

[1] Moscow State University,

来源：

Differential Equations | 2012年 / 48卷

关键词：

Asymptotic Method; Parabolic Problem; Lyapunov Stability; Asymptotic Series; Singularly Perturb;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a nonlinear boundary value problem for an equation of reaction-diffusion-advection type whose solutions have internal transition layers (contrast structures). We prove the existence of such solutions, construct their asymptotics, and estimate its accuracy. The analysis is carried out with the use of the asymptotic method of differential inequalities and permits one to prove the Lyapunov stability of the contrast structures.

引用

页码：745 / 755

页数：10

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