The Beltrami spectrum for incompressible fluid flows

Peter Constantin, Andrew Majda

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)435-456
Number of pages22
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Sep 1988

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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