BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On phase field approximation of Plateau's problem
DTSTART:20260511T120000Z
DTEND:20260511T130000Z
DTSTAMP:20260503T045200Z
UID:indico-event-16497@indico.math.cnrs.fr
DESCRIPTION:Speakers: Eve Machefert (Insa Lyon)\n\nPlateau's problem is a 
 notorious problem in Calculus of Variations and Geometric Measure Theory. 
 In this presentation\, I will introduce a phase-field approximation of Pla
 teau’s problem\, based on the coupling of the Ambrosio–Tortorelli ener
 gy with a geodesic distance penalization\, which encodes the topological c
 onstraints. I will then justify this approach through a Γ-convergence res
 ult towards a formulation of Plateau’s problem in codimension one\, and 
 analyze the functional by establishing existence and regularity results fo
 r minimizers. From an analytical perspective\, I will also present an anal
 ysis of the limit problem and provide a characterization of quasi-minimize
 rs in terms of John domains. Finally\, this approach is implemented in a n
 umerical framework to approximate solutions of Plateau’s problem in vari
 ous configurations\, illustrating the efficiency and flexibility of the pr
 oposed model.\n\nhttps://indico.math.cnrs.fr/event/16497/
LOCATION:Salle 27 (Carmes)
URL:https://indico.math.cnrs.fr/event/16497/
END:VEVENT
END:VCALENDAR