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

• 成果类型: Article; Early Access
• 署名作者: Cooperman, William; Rowan, Keefer
• 署名单位: New York University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01384-3
• 发表日期: 2025
• 关键词: Ergodicity; fluid; turbulence; DYNAMICS

摘要

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.