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Number Theory of Decaying Turbulence 2: The Energy Spectrum and the Riemann Zeta Zeros
The odd Euler ensemble, the locally stable attractor of the momentum-loop dynamics of freely decaying incompressible turbulence, has a self-similar energy spectrum \(E(k,t)=L^{-3/2}H(kL)\), \(L\sim\sqrt{\tildeνt}\), which does not depend on the dimension of space. We compute its scaling function as
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