Analysis Seminar

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Exponential mixing by shear flows

Speaker: William Cooperman, New York University

Location: Warren Weaver Hall 1302

Date: Thursday, September 28, 2023, 11 a.m.

Synopsis:

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 examples of particularly simple 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.