Calculus of Variations and Geometric Measure Theory

Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law

Guido De Philippis (Courant Institute of Mathematics)

created by dicastro on 12 Apr 2014

16 apr 2014 -- 17:00   [open in google calendar]

Aula Riunioni - Department of Mathematics, University of Pisa


Local volume-constrained minimizers in anisotropic capillarity problems develop free boundaries on the walls of their containers. We prove the regularity of the free boundary outside a negligible set, showing in particular the validity of Young’s law at almost every point (joint with Francesco Maggi).