Effect of Vorticity Coherence on Energy-Enstrophy Bounds for the 3D Navier-Stokes Equations

被引：1

作者：

Dascaliuc, R. ^{[1
]}

Grujic, Z. ^{[2
]}

Jolly, M. S. ^{[3
]}

机构：

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

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

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 03期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; turbulence; vorticity coherence; HOMOGENEOUS TURBULENCE; REGULARITY; DIRECTION; DYNAMICS; MODELS; FLOWS;

D O I：

10.1007/s00021-015-0216-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bounding curves in the energy, enstrophy-plane are derived for the 3D Navier-Stokes equations under an assumption on coherence of the vorticity direction. The analysis in the critical case where the direction is Holder continuous with exponent r = 1/2 results in a curve with extraordinarily large maximal enstrophy (exponential in Grashof), in marked contrast to the subcritical case, r > 1/2 (algebraic in Grashof).

引用

页码：393 / 410

页数：18

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