BOUNDS ON ENERGY AND ENSTROPHY FOR THE 3D NAVIER-STOKES-α AND LERAY-α MODELS

被引：4

作者：

Farhat, Aseel ^{[1
]}

Jolly, Michael ^{[1
]}

Lunasin, Evelyn ^{[2
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] US Naval Acad, Dept Math, Annapolis, MD 21402 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2014年 / 13卷 / 05期

关键词：

Global attractor; NS-alpha turbulence model; Leray-alpha turbulence model; energy; enstrophy; CASCADE; FLUID;

D O I：

10.3934/cpaa.2014.13.2127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct semi-integral curves which bound the projections of the global attractors of the 3D NS-alpha and 3D Leray-alpha sub-grid scale turbulence models in the plane spanned by their energy and enstrophy. We note the dependence of these bounds on the filter width parameter alpha, and determine subregions where each quantity, energy and enstrophy, must decrease, while isolating one which is recurrent.

引用

页码：2127 / 2140

页数：14

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