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.

引用

页码：593 / 611

页数：19

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