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SUMMARY:15 Décembre 2025 - Adriano Prade et Andrea Natale
DTSTART:20251215T090000Z
DTEND:20251215T110000Z
DTSTAMP:20260425T184400Z
UID:indico-event-14583@indico.math.cnrs.fr
DESCRIPTION:Adriano Prade (École Polytechnique)\nTitle: Young's law and r
 egularity of minimizers for a nonlocal isoperimetric model of charged capi
 llarity droplets.\nAbstract: We consider a model for an electrically charg
 ed liquid drop laying on a solid surface. The surface tension of the dropl
 et is represented by the classical De Giorgi perimeter with a capillarity 
 modification whereas the electric charge is modeled by the Riesz energy. W
 e study the resulting functional under convexity constraint in dimension 2
 \, focusing on existence and regularity of minimizers. In the end we show 
 the validity of Young's law\, describing the contact angle between the dro
 plet and the supporting surface.\nAndrea Natale (Université Paris-Saclay/
 Inria PARMA)Semi-discrete convex order and applications\nLaguerre tessella
 tions provide a computationally tractable way to describe a large number o
 f convex partitions of Euclidean space. For this reason\, they have become
  popular in computational geometry\, imaging\, and numerical analysis\, bo
 th as a modeling and a discretization tool. In this talk\, we consider an 
 inverse problem arising from applications in imaging for material science:
  can we recover a Laguerre tessellation from the volumes and barycenters o
 f its cells? We address this question by reformulating it as a Wasserstein
  projection onto the set of discrete measures in convex order with a given
  absolutely continuous measure. We provide a precise description of this s
 et\, establishing a direct connection with semidiscrete optimal transport 
 theory. This enables us to develop a robust numerical method to compute Wa
 sserstein projections under convex order constraints and construct approxi
 mate solutions to our tessellation reconstruction problem.This talk is bas
 ed on joint work with David Bourne\, Thomas Gallouët and Quentin Mérigot
 .\n \n\nhttps://indico.math.cnrs.fr/event/14583/
LOCATION:Salle Maryam Mirzakhani (201) (Institut Henri Poincaré)
URL:https://indico.math.cnrs.fr/event/14583/
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