The Beltrami spectrum for incompressible fluid flows

Peter Constantin; Andrew Majda

doi:10.1007/BF01218019

The Beltrami spectrum for incompressible fluid flows

Peter Constantin, Andrew Majda

Research output: Contribution to journal › Article › peer-review

Abstract

Recently V. Yakhot, S. Orszag, and their co-workers 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 persistence of such Beltrami hierarchies is also presented for general solutions of the Navier-Stokes equations.

Original language	English (US)
Pages (from-to)	435-456
Number of pages	22
Journal	Communications In Mathematical Physics
Volume	115
Issue number	3
DOIs	https://doi.org/10.1007/BF01218019
State	Published - Sep 1988

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01218019

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abstract = "Recently V. Yakhot, S. Orszag, and their co-workers 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 persistence of such Beltrami hierarchies is also presented for general solutions of the Navier-Stokes equations.",

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The Beltrami spectrum for incompressible fluid flows

Abstract

ASJC Scopus subject areas

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