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A stochastic approach to enhanced diffusion
OA Location
Author(s)
Zelati, Michele Coti
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 Ho¨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
2021-06-24
Date Acceptance
2020-02-26
Citation
arXiv, 2021
URI
URL
DOI
ISSN
0391-173X
Publisher
Scuola Normale Superiore - Edizioni della Normale
Start Page
811
End Page
834
Journal / Book Title
arXiv
Volume
22
Issue
2
Subjects
FLUCTUATION-DISSIPATION RELATION
Mathematics
Physical Sciences
Science & Technology
Publication Status
Published
Date Publish Online
2021-06-24