Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow
Probability
2022-09-16 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2104.03732,
title = {Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow},
author = {Umberto Pappalettera},
journal= {arXiv preprint arXiv:2104.03732},
year = {2022}
}
Comments
27 pages