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.
Bibliographical noteFunding 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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics