A stochastic approach to enhanced diffusion

Michele Coti Zelati; Theodore D. Drivas

A stochastic approach to enhanced diffusion

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arxiv 1911.09995 v1 pith:AJNWQ4TW submitted 2019-11-22 math.AP math.PRphysics.flu-dyn

Michele Coti Zelati , Theodore D. Drivas This is my paper · ORCID

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keywords diffusionenhancedflowsregularadvectionapproachcircularcontinuous

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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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Neutral curves and traveling waves in plane Poiseuille flow
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Rigorous proof that the lower and upper neutral branches of plane Poiseuille flow obey ν ~ α^7 and ν ~ α^11, with simple eigenvalues and transversal crossing, yielding traveling-wave bifurcation.

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