A stochastic approach to enhanced diffusion
Author(s)
Coti Zelati, Michele
Drivas, Theodore D
Type
preprint
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.
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.
Date Issued
2019-11-22
Date Acceptance
2019-11-22
Citation
arXiv, 2019
Journal / Book Title
arXiv
Copyright Statement
Copyright © 2019The Author(s)
Identifier
http://arxiv.org/abs/1911.09995v1
Subjects
math.AP
math.AP
math.PR
physics.flu-dyn
Notes
17 pages, 3 figures