Friday January 31st, 2025 | |
Time: | 11:00 AM - 12:00 PM |
Title: | Passive tracers advected by 2D Navier–Stokes equations with degenerate stochastic forcing |
Speaker: | Keefer Rowan, New York University |
Abstract: | |
I provide a high-level discussion of recent work with William Cooperman in which we prove the presence of various passive tracer phenomena in the physical model of a fluid with large-scale stirring given by the 2D Navier--Stokes equations with a degenerate stochastic forcing. This model was considered in the groundbreaking work of Hairer and Mattingly \'06. The passive tracer phenomena were proved for the case of non-degenerate forcing by Bedrossian, Blumenthal, and Punshon-Smith \'21, \'22, \'22. Our work can be viewed as a union of these frameworks. |