The porous medium equation: a model of a free boundary with a finite speed of propagation
The porous medium equation is a degenerate parabolic differential equation. It is used in modelling free boundaries with a finite speed of propagation. At the free boundary the solution may be singular. The aim of this talk is to discuss the regularity of weak solutions and its behaviour near the free boundary. Further, an application of these results to the finite element analysis is given.
Carsten Ebmeyer, University of Bonn, Germany
November 24, 2000