A singular perturbation problem arising in Oseen's spiral flows

被引：4

作者：

Ikeda, H ^{[1
]}

Mimura, M

Okamoto, H

机构：

[1] Toyama Univ, Fac Sci, Dept Math, Toyama 9308555, Japan

[2] Hiroshima Univ, Dept Math & Life Sci, Higashihiroshima 7398526, Japan

[3] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2001年 / 18卷 / 02期

关键词：

Navier-Stokes equations; interior layer; exact solution;

D O I：

10.1007/BF03168582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Oseen's spiral flows for viscous incompressible fluid are considered. Their limiting behavior as the Reynolds number tends to infinity is rigorously analyzed and the width of the interior layer is proved to be of O(R-1/2), where R is the Reynolds number.

引用

页码：393 / 403

页数：11

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