For passive scalars in strictly monotone shear flows, the paper proves a stable mixing estimate in H^{-1} with sharp decay t^{-1} and enhanced diffusion rate ν^{1/3}, uniformly as the diffusivity ν goes to zero.
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Stable mixing estimates in the infinite P\'eclet number limit
For passive scalars in strictly monotone shear flows, the paper proves a stable mixing estimate in H^{-1} with sharp decay t^{-1} and enhanced diffusion rate ν^{1/3}, uniformly as the diffusivity ν goes to zero.