Work

Exponential scalar mixing for the 2D Navier–Stokes equations with degenerate stochastic forcing

Year: 2025

Type: article

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.

Source: Inventiones mathematicae

DOI: 10.1007/s00222-025-01384-3

Authors: William Cooperman, Keefer Rowan

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: National Science Foundation, Eidgenössische Technische Hochschule Zürich