26–28 nov. 2025
Fuseau horaire Europe/Paris

A tentative phase-field approach for the curvature flow of non-oriented boundaries

26 nov. 2025, 17:30
40m

Orateur

Antonin Chambolle (CEREMADE, CNRS & Université Paris-Dauphine)

Description

In this talk, we start from a neural-net based approach developed by
Bretin et al (Bretin, Denis, Masnou, Terii, 2022), which extends the
classical phase-field method for the mean curvature flow of boundaries
to the case of non-oriented interfaces. We introduce an analytical,
energy-based approach which yields an evolution PDE reproducing the
numerical experiments obtained with the neural networks. A preliminary
analysis explains in part the behaviour of the PDE.

joint work with Élie Bretin and Simon Masnou

Author

Antonin Chambolle (CEREMADE, CNRS & Université Paris-Dauphine)

Documents de présentation

Aucun document.