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A stochastic approach to enhanced diffusion (1911.09995v1)
Published 22 Nov 2019 in math.AP, math.PR, and physics.flu-dyn
Abstract: We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of those results. Our proof makes use of a probabilistic interpretation of the dissipation of solutions to the advection diffusion equation.