15 Décembre 2025 - Adriano Prade et Andrea Natale

lundi 15 déc. 2025, 12:00 → 14:00 Europe/Paris

Salle Maryam Mirzakhani (201) (Institut Henri Poincaré)

Adriano Prade:

 

Title: Young's law and regularity of minimizers for a nonlocal isoperimetric model of charged capillarity droplets.

 

Abstract: We consider a model for an electrically charged liquid drop laying on a solid surface. The surface tension of the droplet is represented by the classical De Giorgi perimeter with a capillarity modification whereas the electric charge is modeled by the Riesz energy. We 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 droplet and the supporting surface.

 

 

Andrea Natale :

TBA