Analysis Seminar
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.