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Freely evolving two-dimensional turbulence is dominated by coherent vortices. The density of these vortices decays in time as t^- with 0. 75. A new scaling theory is proposed which expresses all statistical properties in terms of. Thus the average circulation of the vortices increases as t^/2 and their average radius as t^/4. The total energy is constant, the enstrophy decreases as t^-/2, and the vorticity kurtosis increases as t^/2. These results are supported both by numerical simulations of the fluid equations and by solutions of a modified point-vortex model.
Carnevale et al. (Mon,) studied this question.
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