Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow

This work deals with mixing and dissipation enhancement for the solution of advection-diffusion equation driven by a Ornstein-Uhlenbeck velocity field. We are able to prove a quantitative mixing result, uniform in the diffusion parameter, and enhancement of dissipation over a finite time horizon.

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Bibliographic Details
Published in:Communications in partial differential equations 2022-12, Vol.47 (12), p.2309-2340
Main Author: Pappalettera, Umberto
Format: Article
Language:English
Subjects:
Advection-diffusion equation
Advection-diffusion equations
Diffusion
Dissipation
dissipation enhancement
mixing
Ornstein-Uhlenbeck process
Velocity distribution
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Description
Summary:This work deals with mixing and dissipation enhancement for the solution of advection-diffusion equation driven by a Ornstein-Uhlenbeck velocity field. We are able to prove a quantitative mixing result, uniform in the diffusion parameter, and enhancement of dissipation over a finite time horizon.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2022.2122835