Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

被引：10
|
作者：
Butuzov, V. F. [1 ]
Bychkov, A. I. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
singularly perturbed parabolic equations; boundary layer asymptotics; the case of a triple root of the degenerate equation;
D O I：
10.1134/S0965542516040060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a singularly perturbed parabolic equation, asymptotics of the solution to an initial boundary value problem in the case of a triple root of the degenerate equation is constructed and justified. Essential distinctions from the case of a simple root are the scale of the boundary layer variables and the three-zone structure of the boundary layer.
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页码：593 / 611
页数：19
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