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Department of Mathematics,
University of California San Diego

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Math 248 - Real Analysis Seminar

Christophe Lacave

Universite Grenoble Alpes

Incompressible Fluids through a Porous Medium

Abstract:

In a perforated domain, the asymptotic behavior of the fluid motion depends on the rate (inter-hole distance)/(size of the holes). We will present the standard framework and explain how to find the critical rate where "strange terms" appear for the Laplace and Navier-Stokes equations. Next, we will study Euler equations where the critical rate is totally different than for parabolic equations. These works are in collaboration with V.Bonnaillie-Noel, M.Hillairet, N.Masmoudi, C.Wang and D.Wu.

Host: Andrej Zlatos

December 10, 2019

10:00 AM

AP&M 7321

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