Boundary regularity of capillary minimizing hypersurfaces

Chao Li, Courant Institute of Mathematical Sciences, NYU
Fine Hall 314

Capillary minimizing hypersurfaces are the mathematical model for interfaces between incompressible fluids. I will describe some recent progress in understanding the boundary regularity of such surfaces. In particular, some of our analysis is based on a connection between the capillary problem and the one-phase Bernoulli problem.