Abstract

A theory of enstrophy decay in two-dimensional turbulence, accurately accounting for the role of the large-scale coherent structures, is presented. It is shown that in the limit $\mathrm{R}\mathrm{e}\ensuremath{\rightarrow}\ensuremath{\infty}$ the total enstrophy in the system obeys a universal asymptotic relation: $\ensuremath{\Omega}\ensuremath{\propto}{t}^{\ensuremath{-}2/3}$.

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