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Anisotropic dissipation completely breaks the classic enhanced dissipation phenomenon in Kolmogorov flows because directional diffusion cannot arrest the transverse enstrophy cascade.
Shear flows can withstand perturbations up to $O(\nu^{2/3})$ without destabilizing into turbulence, establishing a logarithm-free nonlinear stability threshold for quadratic Poiseuille flow governed by an accelerated $O(\nu^{-1/2})$ dissipation timescale.
