Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence

Y. Charles Li, Richard D. J. G. Ho, Arjun Berera +1

Ruelle predicted that the maximal amplification of perturbations in homogeneous isotropic turbulence is exponential $e^{\sigma \sqrt{Re}t}$ (where $\sigma \sqrt{Re}$ is the maximal Liapunov e…