BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alessandra Pluda (University of Pisa) DTSTART:20220208T170000Z DTEND:20220208T180000Z DTSTAMP:20260423T035030Z UID:OSGA/95 DESCRIPTION:Title: Re solution of singularities of the network flow\nby Alessandra Pluda (Un iversity of Pisa) as part of Online Seminar "Geometric Analysis"\n\n\nAbst ract\nThe curve shortening flow is an evolution equation in which a curve moves with normal velocity equal to its curvature (at any point and time) and can be interpreted as the gradient flow of the length. We consider the same flow for networks (finite unions of sufficiently smooth\ncurves whos e end points meet at junctions). Because of the variational nature of the problem\, one expects that for almost all the times the evolving network w ill possess only triple junctions where the unit tangent vectors forms ang les of 120 degrees (regular junctions). However\, even if the initial netw ork has only regular junctions\, this property is not preserved by the flo w and junctions of four or more curves may appear during the evolution.\nT he aim of this talk is first to describe the process of singularity format ion and then\nto explain the resolution of such singularities and how to c ontinue the flow in a classical PDE framework.\n\nThis is a research in co llaboration with Jorge Lira (Universidade Federal do Ceará)\, \nRafe Maz zeo (Stanford University) and  Mariel Saez (P. Universidad Catolica de Ch ile).\n LOCATION:https://researchseminars.org/talk/OSGA/95/ END:VEVENT END:VCALENDAR