Moving Fronts in Integro-Parabolic Reaction-Advection-Diffusion Equations

被引：5

作者：

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

Nikitin, A. G.

Petrova, M. A.

Recke, L.

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

PROPAGATION; STABILITY;

D O I：

10.1134/S0012266111090096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider initial-boundary value problems for a class of singularly perturbed nonlinear integro-differential equations. In applications, they are referred to as nonlocal reaction-advection-diffusion equations, and their solutions have moving interior transition layers (fronts). We construct the asymptotics of such solutions with respect to a small parameter and estimate the accuracy of the asymptotics. To justify the asymptotics, we use the asymptotic differential inequality method.

引用

页码：1318 / 1332

页数：15

共 13 条

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