A capillarity phenomena in the one-phase free boundary problem
Venue: Giorgio Tortone - Aula Buzano (DISMA Politecnico di Torino)
This seminar explores one-phase Bernoulli free boundary problems within smooth containers, focusing on scenarios where the normal derivative of solutions is prescribed along the containers boundary. We examine the regularity of the free boundary and the structure of the wetting region, characterized by its contact with the fixed boundary. Key findings include characterizing the contact angle in terms of "container permeability" and unveiling the smooth (d − 2) - dimensional nature of the boundary of the wetting region, except for a possible closed set of dimension at most d − 5.
This is based on a joint work with L. Ferreri and B. Velichkov.
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