### Abstract

The methods of conformal field theory are used to obtain series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent, is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one, since the enstrophy transfer is catalyzed by the large-scale motions. The theory gives some unambiguous predictions for the corrections in the inertial range.

Original language | English (US) |
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Pages (from-to) | 367-385 |

Number of pages | 19 |

Journal | Nuclear Physics, Section B |

Volume | 396 |

Issue number | 2-3 |

DOIs | |

State | Published - May 17 1993 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Polyakov, A. M. (1993). The theory of turbulence in two dimensions.

*Nuclear Physics, Section B*,*396*(2-3), 367-385. https://doi.org/10.1016/0550-3213(93)90656-A