Cascade of phases in turbulent flows

被引：12

作者：

Cheverry, Christophe ^{[1
]}

机构：

[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2006年 / 134卷 / 01期

关键词：

fluid mechanics; Euler and Navier-Stokes equations; asymptotic expansions; nonlinear geometric optics; propagation of singularities; closure problems; turbulence;

D O I：

10.24033/bsmf.2501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to incompressible Euler equations (or to Navier-Stokes equations in the vanishing viscosity limit). It describes the propagation of quasi-singularities. The underlying phenomena are consistent with the notion of a cascade of energy.

引用

页码：33 / 82

页数：50

共 29 条

[1]

Bardos C, 2001, ADV MATH FLUID MECH, P1

[2]

BEALE JT, 1994, COMMUN MATH PHYS, P61

[3]

Chemin J.-Y., 1998, OXFORD LECT SERIES M, V14

[4] Fluids with anisotropic viscosity [J].