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arXiv · 2408.02459

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

William Cooperman·Keefer Rowan
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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.

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William Cooperman, Keefer Rowan. 2024-08-05. Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing. https://arxiv.org/abs/2408.02459

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