Shapes of local minimizers for a model of capillary energy in periodic media

PDE Seminar
Tuesday, September 25, 2018 - 3:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Chicago
I will discuss the limit shapes for local minimizers of the Alt-Caffarelli energy.  Fine properties of the associated pinning intervals, continuity/discontinuity in the normal direction, determine the formation of facets in an associated quasi-static motion.  The talk is partially based on joint work with Charles Smart.