Conformal Turbulence with Boundary
B.K. Chung, Soonkeon Nam, Q-Han Park, and H.J. Shin
TL;DR
This paper applies conformal field theory with boundary conditions to analyze boundary effects in two-dimensional turbulence, deriving exact correlation functions and spectra to address infrared issues.
Contribution
It introduces a novel approach using conformal field theory with boundary to model boundary effects in 2D turbulence, providing exact analytical results.
Findings
Derived exact one and two point velocity correlation functions
Obtained the energy power spectrum in the upper half plane
Addressed the infrared problem in conformal turbulence theory
Abstract
Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two point velocity correlation functions and energy power spectrum confined in the upper half plane are obtained using the image method. This result enables us to address the infrared problem of the theory of conformal turbulence.
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