Solutions of conformal turbulence on a half plane

B. K. Chung; Soonkeon Nam; Q. Han Park; H. J. Shin

doi:10.1016/0370-2693(93)91575-8

Solutions of conformal turbulence on a half plane

B. K. Chung
, Soonkeon Nam
, Q. Han Park
, H. J. Shin

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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
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
DOIs	https://doi.org/10.1016/0370-2693(93)91575-8
Publication status	Published - 4 Nov 1993

Bibliographical note

Funding Information:
This work was supported in part by the program of Basic Science Research, Ministry of Education, and by Korea Science and Engineering Foundation, and partly through CTP/SNU. QP thanks K.Kang and Physics Department of Brown University for their support through the SNU-Brown exchange program during his visit.

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title = "Solutions of conformal turbulence on a half plane",

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.",

author = "Chung, \{B. K.\} and Soonkeon Nam and Park, \{Q. Han\} and Shin, \{H. J.\}",

note = "Funding Information: This work was supported in part by the program of Basic Science Research, Ministry of Education, and by Korea Science and Engineering Foundation, and partly through CTP/SNU. QP thanks K.Kang and Physics Department of Brown University for their support through the SNU-Brown exchange program during his visit.",

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doi = "10.1016/0370-2693(93)91575-8",

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T1 - Solutions of conformal turbulence on a half plane

AU - Chung, B. K.

AU - Nam, Soonkeon

AU - Park, Q. Han

AU - Shin, H. J.

N1 - Funding Information: This work was supported in part by the program of Basic Science Research, Ministry of Education, and by Korea Science and Engineering Foundation, and partly through CTP/SNU. QP thanks K.Kang and Physics Department of Brown University for their support through the SNU-Brown exchange program during his visit.

PY - 1993/11/4

Y1 - 1993/11/4

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0346838487

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DO - 10.1016/0370-2693(93)91575-8

M3 - Article

AN - SCOPUS:0346838487

SN - 0370-2693

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

IS - 1-2

ER -

Solutions of conformal turbulence on a half plane

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