Finite time mixing and enhanced dissipation for 2D Navier--Stokes equations by Ornstein--Uhlenbeck flow
Probability
2025-01-22 v2 Analysis of PDEs
Abstract
We consider the vorticity form of 2D Navier--Stokes equations perturbed by an Ornstein--Uhlenbeck flow of transport type. Contrary to previous works where the random perturbation was interpreted as Stratonovich transport noise, here we understand the equation in a pathwise manner and show the properties of mixing and enhanced dissipation for suitable choice of the flow.
Keywords
Cite
@article{arxiv.2307.01493,
title = {Finite time mixing and enhanced dissipation for 2D Navier--Stokes equations by Ornstein--Uhlenbeck flow},
author = {Chang Liu and Dejun Luo},
journal= {arXiv preprint arXiv:2307.01493},
year = {2025}
}
Comments
We have improved Theorem 1.2 by showing enhanced dissipation for all t>0