BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Giacomo Vianello (Institute of Information Theory and Automation\, CAS) DTSTART:20260223T144000Z DTEND:20260223T161000Z DTSTAMP:20260405T174923Z UID:NSCM/207 DESCRIPTION:Title: T he behavior of an almost-minimizer of the relative perimeter near a bounda ry vertex of the container.\nby Giacomo Vianello (Institute of Informa tion Theory and Automation\, CAS) as part of Nečas Seminar on Continuum M echanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\ , Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nIt is known that the boundary of an almost-minimizer of the relative perimeter inside a smooth container satisfies Young's Law\, namely\, it meets the containe r boundary orthogonally. Much less is known when the container is nonsmoot h. In this talk\, I will describe some recent results concerning the behav ior of an almost-minimizer of the relative perimeter near an isolated sing ularity (vertex) of its container boundary. I will show that\, in dimensio n three\, a phenomenon we call vertex-skipping occurs\, that is\, the boun dary of an almost-minimizer cannot pass through a vertex of its container\ , while in higher dimensions the situation is more intricate\, and a relat ion between the "aperture" of the vertex and the avoidance of the singular ity emerges. I will conclude by discussing some related open questions. Th is is part of a joint project with Gian Paolo Leonardi (University of Tren to).\n LOCATION:https://researchseminars.org/talk/NSCM/207/ END:VEVENT END:VCALENDAR