A stochastic approach to enhanced diffusion

Michele Coti Zelati; Theodore D. Drivas

doi:10.2422/2036-2145.201911_013

A stochastic approach to enhanced diffusion

Michele Coti Zelati
, Theodore D. Drivas

Mathematics

Imperial College London

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Holder 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.

Original language	English
Pages (from-to)	811-834
Number of pages	24
Journal	Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Volume	22
Issue number	2
DOIs	https://doi.org/10.2422/2036-2145.201911_013
State	Published - 2021

Access to Document

10.2422/2036-2145.201911_013

Cite this

@article{0fcd7f0579c14450ad5844f3a74c5be9,

title = "A stochastic approach to enhanced diffusion",

abstract = "We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Holder 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.",

author = "Zelati, \{Michele Coti\} and Drivas, \{Theodore D.\}",

year = "2021",

doi = "10.2422/2036-2145.201911\_013",

language = "English",

volume = "22",

pages = "811--834",

journal = "Annali della Scuola Normale Superiore di Pisa - Classe di Scienze",

issn = "0391-173X",

number = "2",

}

TY - JOUR

T1 - A stochastic approach to enhanced diffusion

AU - Zelati, Michele Coti

AU - Drivas, Theodore D.

PY - 2021

Y1 - 2021

N2 - We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Holder 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.

AB - We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Holder 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.

UR - https://www.scopus.com/pages/publications/85136201258

U2 - 10.2422/2036-2145.201911_013

DO - 10.2422/2036-2145.201911_013

M3 - Article

AN - SCOPUS:85136201258

SN - 0391-173X

VL - 22

SP - 811

EP - 834

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

IS - 2

ER -

A stochastic approach to enhanced diffusion

Abstract

Access to Document

Other files and links

Fingerprint

Cite this