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physics.flu-dyn2026
Number Theory of Decaying Turbulence 3: Comparing with Physical and Numerical Experiments
Alexander Migdal, Wei Wang
We compare the predictions of the Euler-ensemble solution of freely decaying incompressible turbulence with simulations and experiments: the scaling function of the energy spectrum…
nlin.CD2026
Reduction of Decaying Navier--Stokes Turbulence to the Quantum Pendulum
Alexander Migdal
The statistics of a classical flow is a problem of quantum mechanics in loop space, and not by analogy: the loop functional of any flow is the loop-ordered exponential of the covar…
hep-th2026
Number Theory of Decaying Turbulence 2: The Energy Spectrum and the Riemann Zeta Zeros
Alexander Migdal
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…