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arXiv · 1911.09995

A stochastic approach to enhanced diffusion

Michele Coti Zelati·Theodore D. Drivas
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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.

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Michele Coti Zelati, Theodore D. Drivas. 2019-11-22. A stochastic approach to enhanced diffusion. https://arxiv.org/abs/1911.09995

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