### 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) |
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Pages (from-to) | 435-456 |

Number of pages | 22 |

Journal | Communications In Mathematical Physics |

Volume | 115 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1 1988 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Constantin, P., & Majda, A. (1988). The Beltrami spectrum for incompressible fluid flows.

*Communications In Mathematical Physics*,*115*(3), 435-456. https://doi.org/10.1007/BF01218019