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communication [at] ens-paris-saclay.fr (Communication)

Anisotropic soap bubbles

Valentina Franceschi, Université Paris-Sud, will give a lecture about "Anisotropic soap bubbles" in a seminar organized by CMLA laboratory (Center for Mathematical Studies and their Applications), the 13th december.
Ajouter à mon agenda 2024-03-26 14:10:28 2024-03-26 14:10:28 Anisotropic soap bubbles Valentina Franceschi, Université Paris-Sud, will give a lecture about "Anisotropic soap bubbles" in a seminar organized by CMLA laboratory (Center for Mathematical Studies and their Applications), the 13th december. Cournot Building, Room C103 ENS-PARIS-SACLAY webmaster@ens-paris-saclay.fr Europe/Paris public

The aim of this seminar is to present some recent results on a minimal partition problem in the Euclidean plane, relative to a suitable family of anisotropic perimeters and volumes.

 
This amounts to find the best configuration of $min mathbb N$ regions in the plane enclosing given volumes, in order to minimize their total perimeter, where perimeter and volume are defined by two different anisotropic densities. The particular structure of such densities is inspired by a geometric model, called the Grushin plane, that will be presented.
 
We discuss existence of solutions to the minimal partition problem (ongoing work with Aldo Pratelli - Università di Pisa and Giorgio Stefani - SNS, Pisa) and we conclude by analyzing the particular choices of volume and perimeter associated with the Grushin plane. In this framework we present our candidate solutions for the double bubble problem (joint work with Giorgio Stefani).