Exponential mixing by shear flows

Series
CDSNS Colloquium
Time
Friday, September 2, 2022 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006; Zoom streaming available
Speaker
Bill Cooperman – University of Chicago – billc@uchicago.eduhttps://math.uchicago.edu/~billc/
Organizer
Alex Blumenthal

Please Note: Zoom link: https://us06web.zoom.us/j/83392531099?pwd=UHh2MDFMcGErbzFtMHBZTmNZQXM0dz09

Given a divergence-free vector field on the torus, we consider the mixing properties of the associated flow. There is a rich body of work studying the dependence of the mixing scale on various norms of the vector field. We will discuss some interesting examples of vector fields that mix at the optimal rate, and an improved bound on the mixing scale under the extra assumption that the vector field is a shear at each time.