Seminario

Minimization of attractive-repulsive energies among measures

Seminario periodico del Dipartimento di Matematica
30 marzo 2022
Orario di inizio 
10:30
Online
Destinatari: 
Comunità universitaria
Comunità studentesca UniTrento
Partecipazione: 
Online
Referente: 
Prof. Andrea Pinamonti, dott. Andrea Marchese, dott. Giorgio Saracco
Contatti: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 04 61/281508-1625-1701-3786-1980
Speaker: 
Aldo Pratelli, Università di Pisa

Abstract

The famous "liquid drop model" by Gamow is one of the oldest and most studied energies of attractive-repulsive type, and it has gathered a huge interest among physicists and mathematicians. In the last years several generalizations of the model have been studied, and now many important properties are known, though still some fundamental questions are open, even in the original model. In addition, people have started to consider the minimization in the class of L^1 positive functions, instead than in the class of sets. In this talk, we will describe the main features of the problem, and we will concentrate ourselves in the even more general case of minimization among positive measures, already considered by some authors but largely open. We will present some properties, proven very recently, and some open questions.

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