Exponential scalar mixing for the 2D Navier–Stokes equations with degenerate stochastic forcing
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.
Authors
- William Cooperman (ORCID: https://orcid.org/0000-0002-5964-4527)
- Keefer Rowan (ORCID: https://orcid.org/0000-0002-4059-3985)
Institutions
- Courant Institute of Mathematical Sciences (US)
- New York University (US)
Publication Details
- Journal
- Inventiones mathematicae
- Published
- 2025-10-29
- DOI
- https://doi.org/10.1007/s00222-025-01384-3
- Citations
- 1
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 2.21
Funders
- National Science Foundation
- Eidgenössische Technische Hochschule Zürich