Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing
Analysis of PDEs
2024-08-06 v1 Dynamical Systems
Probability
Abstract
We show exponential mixing of passive scalars advected by a solution to the stochastic Navier-Stokes equations with finitely many (e.g. four) forced modes satisfying a hypoellipticity condition. Our proof combines the asymptotic strong Feller framework of Hairer and Mattingly with the mixing theory of Bedrossian, Blumenthal, and Punshon-Smith.
Keywords
Cite
@article{arxiv.2408.02459,
title = {Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing},
author = {William Cooperman and Keefer Rowan},
journal= {arXiv preprint arXiv:2408.02459},
year = {2024}
}
Comments
77 pages (2 figures, 1 table), comments welcome!