2012/02/07 by Alexey Cheskidov, Cheskidov, A., Roman Shvydkoy +1
Earth and Planetary Sciences · Engineering · Environmental Science · #35Q31 (Secondary) #76F02 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Meteorological Phenomena and Simulations #Wind and Air Flow Studies
paper · pdf · doi:10.48550/arxiv.1202.1460
openalex publication_date 2012/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.