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

被引：0
|
作者：
N. N. Nefedov
A. G. Nikitin
机构：
[1] Moscow State University,Faculty of Physics
来源：
Computational Mathematics and Mathematical Physics | 2012年 / 52卷
关键词：
reaction-diffusion problem; singularly perturbed integro-parabolic equation; boundary layers; asymptotic expansion of solution;
D O I：
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学科分类号：
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.
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页码：926 / 931
页数：5
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