paper

Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow

arXiv:2104.03732 · doi:10.1080/03605302.2022.2122835

Abstract

This work deals with mixing and dissipation ehancement 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.

arXiv comment27 pages

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