The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations

被引：21
|
作者：
Temam, R
Wang, X
机构：
[1] INDIANA UNIV,INST APPL MATH & SCI COMP,BLOOMINGTON,IN 47405
[2] NYU,COURANT INST,NEW YORK,NY 10012
[3] IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
来源：
APPLIED MATHEMATICS LETTERS | 1997年 / 10卷 / 05期
基金：
美国国家科学基金会;
关键词：
boundary layer; small viscosity; Navier-Stokes equation; Euler equation;
D O I：
10.1016/S0893-9659(97)00079-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we establish partial results concerning the convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Convergence is proved in space dimension two under a physically reasonable assumption, namely that the gradient of the pressure remains bounded at the boundary as the Reynolds number converges to infinity.
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页码：29 / 33
页数：5
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