Dirichlet quotients and 2D periodic Navier-Stokes equations

被引：22
|
作者：
Constantin, P
Foias, C
Kukavica, I
Majda, AJ
机构：
[1] INDIANA UNIV,DEPT MATH,BLOOMINGTON,IN 47405
[2] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08540
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1997年 / 76卷 / 02期
基金：
美国国家科学基金会;
关键词：
Navier-Stokes equations; Dirichlet quotients; Euler equation;
D O I：
10.1016/S0021-7824(97)89948-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that for the periodic 2D Navier-Stokes equations (NSE) the set of initial data for which the solution exists for all negative times and has exponential growth is rather rich. We study this set and show that it is dense in the phase space of the NSE. This yields to a positive answer to a question in [BT]. After an appropriate rescaling the large Reynolds limit dynamics on this set is Eulerian.
引用
收藏
页码：125 / 153
页数：29
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