Carnegie Mellon
Department of Mathematical 

Govind Menon, Brown University

"Diffusive Slowdown in Porous Medium Flows "


A column of heavy fluid over a light fluid in a porous > medium is unstable. Linear growth of the instability is followed by a > fully nonlinear regime, where one observes a mixing layer composed of > an intricate network of `fingers'. We prove bounds that quantify this > mixing. A mathematical feature of interest is a scalar conservation > law where the usual entropy solution is not selected. This is work > with Felix Otto (Bonn).

TUESDAY, March 28, 2006
Time: 1:30 P.M.
Location: PPB 300