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...

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Bibliographic Details
Published in:arXiv.org 2024-08
Main Authors: Cooperman, William, Keefer Rowan
Format: Article
Language:English
Subjects:
Fluid flow
Navier-Stokes equations
Scalars
Online Access:Get full text
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Summary: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.
ISSN:2331-8422