Euler equations and turbulence: analytical approach to intermittency
Analysis of PDEs
2016-12-14 v2 Mathematical Physics
math.MP
Abstract
Physical models of intermittency in fully developed turbulence employ many phenomenological concepts such as active volume, region, eddy, energy accumulation set, etc, used to describe non-uniformity 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.
Cite
@article{arxiv.1202.1460,
title = {Euler equations and turbulence: analytical approach to intermittency},
author = {A. Cheskidov and R. Shvydkoy},
journal= {arXiv preprint arXiv:1202.1460},
year = {2016}
}
Comments
This is an updated version. Published in SIMA, 2011