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Séminaire du CMLA : Anisotropic soap bubbles

le 13 décembre 2018
13h00 - 14h00

Séminaire animé par Valentina Franceschi, de l'université Paris-Sud



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).
Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Bâtiment Cournot, salle C103


Valentina Franceschi. Lectrice Hadamard, Institut de mathématiques d'Orsay & Fondation mathématique Jacques Hadamard (FJMH)

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