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

页码：713 / 724

页数：12

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