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

共 4 条

[1] Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation [J].

Butuzov, V. F. ;

Bychkov, A. I. .

DIFFERENTIAL EQUATIONS, 2013, 49 (10) :1261-1273

[2]

Ilin A.M., 1989, Matching of asymptotic expansions of solations of boundary value problems

[3]

Pao C. V., 2004, Nonlinear Parabolic and Elliptic Equations, DOI DOI 10.1007/978-1-4615-3034-3

[4]

Vasileva A. B., 1990, Asymptotic Methods in the Theory of Singular Perturbations

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