Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.02459 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929449634627584 |
|---|---|
| author | Cooperman, William Rowan, Keefer |
| author_facet | Cooperman, William Rowan, Keefer |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing Cooperman, William Rowan, Keefer Analysis of PDEs Dynamical Systems Probability 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. |
| title | Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing |
| topic | Analysis of PDEs Dynamical Systems Probability |
| url | https://arxiv.org/abs/2408.02459 |