Determining modes for the 3D Navier-Stokes equations

被引：8
|
作者：
Cheskidov, Alexey [1 ]
Dai, Mimi [2 ]
Kavlie, Landon [1 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[2] Univ Illinois, Dept Appl Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2018年 / 374卷
关键词：
Navier-Stokes equations; Determining modes; Global attractor; EULER EQUATIONS; VISCOUS-FLUID; TURBULENCE; ATTRACTORS; DIMENSION; NUMBER;
D O I：
10.1016/j.physd.2017.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a determining wavenumber for the forced 3D Navier-Stokes equations (NSE) defined for each individual solution. Even though this wavenumber blows up if the solution blows up, its time average is uniformly bounded for all solutions on the weak global attractor. The bound is compared to Kolmogorov's dissipation wavenumber and the Grashof constant. (C) 2017 Elsevier B.V. All rights reserved.
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收藏
页码：1 / 9
页数：9
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