Enhanced Dissipation via the Malliavin Calculus
Analysis of PDEs
2024-05-22 v1 Probability
Abstract
In this work we investigate the phenomenon of enhanced dissipation using techniques from the Malliavin Calculus. In particular, we construct a concise, elementary argument, that allows us to recover the well-known enhanced dissipation timescale for shear flows, first obtained by Bedrossian and Coti Zelati in 2017, as well as the precise hypoelliptic regularisation in x.
Cite
@article{arxiv.2405.12787,
title = {Enhanced Dissipation via the Malliavin Calculus},
author = {David Villringer},
journal= {arXiv preprint arXiv:2405.12787},
year = {2024}
}