New DNS up to 2048^3 grid points reportedly confirm that perturbations in fully developed turbulence amplify as e^{c sqrt(Re) sqrt(t)}, which is faster than exponential, and saturate quickly.
Li, Notices of the AMS 65, 1255 (2018)
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Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence
New DNS up to 2048^3 grid points reportedly confirm that perturbations in fully developed turbulence amplify as e^{c sqrt(Re) sqrt(t)}, which is faster than exponential, and saturate quickly.