University of Connecticut

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Analysis and Probability Seminar
Homogenisation for a Kinetic Random Motion in Infinite Dimension
Pierre Perruchaud (Université de Rennes 1)

Friday, November 8, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: In this talk, I will introduce two seemingly unrelated topics: kinetic Brownian motion, and fluid mechanics. The former is a geometric random perturbation of the geodesic flow. In its simplest form, it is the motion described by someone walking at unit speed, but in a direction that continuously and randomly changes in time. The latter, in some special case, has been shown by Arnol'd to be equivalent to a geodesic equation in an infinite-dimensional manifold, where each point represents a configuration of a fluid. I will show that it is possible to construct "kinetic Brownian (inviscid incompressible) fluids", and that, in some sense, they degenerate into "Brownian fluids" as the noise diverges.


Analysis and Probability Seminar (primary), UConn Master Calendar

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