On the formation of sharp transition layers in two-dimensional reaction-diffusion models

被引：8

作者：

Volkov V.T. ^{[1
]}

Grachev N.E. ^{[1
]}

Nefedov N.N. ^{[1
]}

Nikolaev A.N. ^{[1
]}

机构：

[1] Faculty of Physics, Moscow State University, Leninskie gory

来源：

Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 8期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic solution method; Formation of contrast structures in solutions; Numerical study; Two-dimensional reaction-diffusion models;

D O I：

10.1134/S0965542507080088

中图分类号：

学科分类号：

摘要：

For a singularly perturbed parabolic equation in two dimensions, the formation of a solution with a sharp transition layer from a sufficiently general initial function is considered. An asymptotic analysis is used to estimate the time required for the formation of a contrast structure. Numerical results are presented. © 2007 Pleiades Publishing, Ltd.

引用

页码：1301 / 1309

页数：8

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