The Beltrami spectrum for incompressible fluid flows
type: Item
instance of: scholarly article
title: The Beltrami spectrum for incompressible fluid flows
zbMATH Open document ID: 0669.76049
DOI: 10.1007/BF01218019
author: Andrew J. Majda
author: P. Constantin
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: Recently, \textit{V. Yakhot}, \textit{S. A. Orszag}, and their co-workers [Weak interactions and local order in strong turbulence (Preprint Nov. 3, 1986), submitted to Phys. Rev. Lett.; and Phys. Rev. Lett. 54, 2505-2509 (1985)] have suggested that turbulent flows in various regions of space organize into a coherent hierarchy of weakly interacting superimposed approximate Beltrami flows. A mathematical framework is developed here to study organized Beltrami hierarchies in a systematic fashion. This framework is applied to several important classes of examples with universal Beltrami hierarchies. An analysis of the presistence of such Beltrami hierarchies is also presented for general solutions of the Navier-Stokes equations.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4096960
zbMATH Keywords: turbulent flows
zbMATH Keywords: coherent hierarchy of weakly interacting superimposed approximate Beltrami flows
zbMATH Keywords: universal Beltrami hierarchies
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01218019
OpenAlex ID: W2083068878
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description: scientific article; zbMATH DE number 4096960