Mullins-Sekerka as the Wasserstein flow of the perimeter

par Gustave Liegeois (ENS Lyon)

jeudi 13 nov. 2025, 10:00 → 12:00 Europe/Paris

Fokko-du-Cloux (Braconnier)

The aim of the speech is to present this article https://arxiv.org/abs/1910.02508 by Antonin Chambolle and Tim Laux. The one phase Millins Sekerka equation has a gradient-flow structure. By convergence of a JKO scheme, the two authors prove the existence of solutions in a weak sense : it satisfies a distributional equation including varifolds. Moreover, these solutions also satisfy an optimal energy-dissipation inequality that can be used in later proof of a weak-strong uniqueness principle .