Analysis Seminar

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Boundary regularity of capillary minimizing hypersurfaces

Speaker: Chao Li, Courant Institute

Location: Warren Weaver Hall 1302

Date: Thursday, February 22, 2024, 11 a.m.

Synopsis:

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.