### Abstract

Exact solutions of conformal turbulence restricted to the upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrophy flux develops in a distant region from the boundary. Thus in the presence of an anisotropic boundary, these exact solutions of turbulence generalize Kolmogorov's solution consistently and differ from the Polyakov's bulk case which requires a fine tuning of coefficients. The simplest solution in our case is given by the minimal model of p = 2,q = 33 and moreover we find a fixed point of solutions when p,q become large.

Original language | English |
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Pages (from-to) | 92-96 |

Number of pages | 5 |

Journal | Physics Letters B |

Volume | 317 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1993 Nov 4 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Chung, B. K., Nam, S., Park, Q. H., & Shin, H. J. (1993). Solutions of conformal turbulence on a half plane.

*Physics Letters B*,*317*(1-2), 92-96. https://doi.org/10.1016/0370-2693(93)91575-8