3:30 p.m., Friday
University of California, Irvine
The Beetles and the Rolling Stones
We will discuss the regularity of the interface in
two different free-boundary problems arising from the degeneracy of
nonlinear parabolic equations: the porous medium equation and
the Gauss curvature flow with flat sides.
We will show that, under certain assuptions on the initial data,
the free-boundary becomes smooth for a short time. We will also discuss
the long time regularity of the interface.
Refreshments will be served in Math Annex Room 1115, 3:15 p.m.