2-D turbulence for forcing in all scales

被引：3

作者：

Balci, N. ^{[2
]}

Foias, C. ^{[3
]}

Jolly, M. S. ^{[1
]}

机构：

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

[2] Univ Minnesota, Inst Math & Its Applicat, Minneapolis, MN 55455 USA

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 94卷 / 01期

关键词：

Navier-Stokes equations; Turbulence; Enstrophy cascade; NAVIER-STOKES EQUATIONS; FULLY-DEVELOPED TURBULENCE; 2-DIMENSIONAL TURBULENCE; ENERGY-SPECTRUM; DISSIPATION;

D O I：

10.1016/j.matpur.2009.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rigorous estimates to support the Batchelor-Kraichnan-Leith theory of 2-D turbulence are made for time-dependent forcing at all length scales. The main estimate, derived under several different assumptions on the smoothness of the force in space and time, bounds the dissipation wavenumber kappa(eta) from above and below in terms of a generalized Grashof number. That estimate is shown to be connected to the energy power law, the dissipation law, and the enstrophy cascade. These results impose certain restrictions on the shape of the force, which in several cases is allowed to be discontinuous in time. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：1 / 32

页数：32

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