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
收藏
页码：1301 / 1309
页数：8
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