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The Theory of Turbulence in Two Dimensions
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The methods of conformal field theory are used to obtain the series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent ,is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one , since the enstrophy transfer is catalyzed by the large scale motions. The theory gives some unambiguous predictions for the correlations in the inertial range.
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Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence
Nodal lines in 2D active scalar turbulence are proposed to be domain walls between constant-flux patches, described by a Liouville conformal field theory whose central charge is set by a fractional winding number matc...
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