Convection-diffusion equations in a circle: The compatible case

被引：14

作者：

Jung, Chang-Yeol ^{[1
]}

Temam, Roger ^{[2
]}

机构：

[1] Ulsan Natl Inst Sci & Thchnol, Ulsan, South Korea

[2] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2011年 / 96卷 / 01期

基金：

美国国家科学基金会;

关键词：

Convection-diffusion equations; Singular perturbation analysis; Boundary layers; Characteristic points; Compatibility conditions; SINGULAR PERTURBATION PROBLEMS; BOUNDARY-LAYERS;

D O I：

10.1016/j.matpur.2011.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we aim to study the boundary layer generated by a convection diffusion equation in a circle. In the model problem that we consider two characteristic points appear. To the best of our knowledge such boundary layer problems have not been studied in a systematic way yet and we indeed know that very complex situations can occur. In the cases that we consider in the present article certain simplifying compatibility conditions are assumed. Other situations will be studied in forthcoming articles which involve noncompatible data, more general domains or higher order operators. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：88 / 107

页数：20

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