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SUMMARY:Superlinear free-discontinuity models: relaxation and phase field 
 approximation
DTSTART:20250512T090000Z
DTEND:20250512T100000Z
DTSTAMP:20260714T041500Z
UID:indico-event-14165@indico.math.cnrs.fr
DESCRIPTION:Speakers: Flaviana Iurlano\n\n We develop the Direct Method in
  the Calculus of Variations for free-discontinuity energies whose bulk and
  surface densities exhibit superlinear growth\, respectively for large gra
 dients and small jump amplitudes. A distinctive feature of this kind of mo
 dels is that the functionals are defined on SBV functions whose jump sets 
 may have infinite measure. Establishing general lower semicontinuity and r
 elaxation results in this setting requires new analytical techniques. In a
 ddition\, we propose a variational approximation of certain superlinear en
 ergies via phase field models. This is a joint work with Sergio Conti and 
 Matteo Focardi.\n\nhttps://indico.math.cnrs.fr/event/14165/
LOCATION:0010 (Université Paris-Cité (campus Grands Moulins))
URL:https://indico.math.cnrs.fr/event/14165/
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