The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity

被引：1
|
作者：
Shvydkoy, Roman [1 ]
Friedlander, Susan [1 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2008年 / 25卷 / 04期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.anihpc.2007.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Navier-Stokes equations for the motion of an incompressible fluid in three dimensions are considered. A partition of the evolution operator into high frequency and low frequency parts is derived. This decomposition is used to prove that the eigenvalues of the Navier-Stokes operator in the inviscid limit converge precisely to the eigenvalues of the Euler operator beyond the essential spectrum. (C) 2007 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：713 / 724
页数：12
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