The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation

被引：2

作者：

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

Nikitin, A. G. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

reaction-diffusion problem; singularly perturbed integro-parabolic equation; boundary layers; asymptotic expansion of solution;

D O I：

10.1134/S0965542512060115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for a nonlinear singularly perturbed integro-parabolic equation is examined. An asymptotic expansion of the solution to this problem containing the temporal, spatial and corner boundary layers is constructed. The existence and local uniqueness of the solution is justified by using the asymptotic method of differential inequalities.

引用

页码：926 / 931

页数：6

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