### Abstract

Exact solutions of conformai 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 |
---|---|

Pages (from-to) | 92-96 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 317 |

Issue number | 1-2 |

Publication status | Published - 1993 Dec 1 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*317*(1-2), 92-96.

**Solutions of conformai turbulence on a half plane.** / Chung, B. K.; Nam, Soonkeon; Park, Q Han; Shin, H. J.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 317, no. 1-2, pp. 92-96.

}

TY - JOUR

T1 - Solutions of conformai turbulence on a half plane

AU - Chung, B. K.

AU - Nam, Soonkeon

AU - Park, Q Han

AU - Shin, H. J.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - Exact solutions of conformai 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.

AB - Exact solutions of conformai 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.

UR - http://www.scopus.com/inward/record.url?scp=0346838487&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346838487&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0346838487

VL - 317

SP - 92

EP - 96

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -