On One Model Problem for the Reaction-Diffusion-Advection Equation

被引：6
|
作者：
Davydova, M. A. [1 ]
Zakharova, S. A. [1 ]
Levashova, N. T. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 09期
基金：
俄罗斯科学基金会; 俄罗斯基础研究基金会;
关键词：
reaction-diffusion-advection equations; singularly perturbed problems; asymptotic methods; SINGULARLY PERTURBED PROBLEMS; CONTRAST STRUCTURES; INTERNAL LAYERS; BOUNDARY;
D O I：
10.1134/S0965542517090056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behavior of the solution with boundary layers in the time-independent mathematical model of reaction-diffusion-advection arising when describing the distribution of greenhouse gases in the surface atmospheric layer is studied. On the basis of the asymptotic method of differential inequalities, the existence of a boundary-layer solution and its asymptotic Lyapunov stability as a steady-state solution of the corresponding parabolic problem is proven. One of the results of this work is the determination of the local domain of the attraction of a boundary-layer solution.
引用
收藏
页码：1528 / 1539
页数：12
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