EULER EQUATIONS AND TURBULENCE: ANALYTICAL APPROACH TO INTERMITTENCY

被引：29
作者：
Cheskidov, A. [1 ]
Shvydkoy, R. [1 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 01期
基金：
美国国家科学基金会;
关键词：
turbulence; intermittency; Euler equations; ENERGY-CONSERVATION; DISSIPATION; CONJECTURE; SPECTRUM;
D O I：
10.1137/120876447
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Physical models of intermittency in fully developed turbulence employ many phenomenological concepts, including active volumes, regions, eddies, and energy accumulation sets, used to describe nonuniformity of the energy cascade. In this paper we give those notions a precise mathematical meaning in the language of the Littlewood-Paley analysis. We further use our definitions to recover scaling laws for the energy spectrum and second order structure function with proper intermittency correction.
引用
收藏
页码：353 / 374
页数：22
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