Some Additional Solutions of Conformal Turbulence
Y. Matsuo
TL;DR
This paper explores additional conformal field theories related to 2D turbulence, highlighting the need for extra conditions to accurately determine the energy spectrum exponent.
Contribution
It identifies new CFT solutions for 2D turbulence equations, emphasizing the necessity of further criteria for precise spectrum exponent determination.
Findings
Discovered several new CFT solutions meeting Polyakov's criteria
Highlighted the insufficiency of current conditions to fix the energy spectrum exponent
Suggested the need for additional constraints in conformal turbulence models
Abstract
We made a careful study of Polyakov's Diofantian equations for 2D turbulence and found several additional CFTs which meet his criterion. This fact implies that we need further conditions for CFT in order to determine the exponent of the energy spectrum function.
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