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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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Published in:Communications in partial differential equations 2022-12, Vol.47 (12), p.2309-2340
Main Author: Pappalettera, Umberto
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Language:English
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description 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.
doi_str_mv 10.1080/03605302.2022.2122835
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1532-4133
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source Taylor and Francis Science and Technology Collection
subjects Advection-diffusion equation
Advection-diffusion equations
Diffusion
Dissipation
dissipation enhancement
mixing
Ornstein-Uhlenbeck process
Velocity distribution
title Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow
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