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