On the minimizers of some non-local energies

Abstract: In this seminar, I will talk about the constrained minimization of some non-local energies that are the sum of a repulsive and an attractive term. The former is a non-homogeneous Riesz-type functional, while the latter is the (fractional) perimeter or a positive-power-type interaction functional. After a brief presentation of some basic results, I will explain the most important ideas that can be used to characterize the minimizers in some constraint ranges. Time permitting, I will also talk about an ongoing project concerning the minimization of some of the previous energies in the space of probability measures.

mathematical physicsanalysis of PDEsclassical analysis and ODEscategory theorycomplex variablesfunctional analysislogicmetric geometryoptimization and control

Audience: researchers in the topic

VCU ALPS (Analysis, Logic, and Physics Seminar)

Series comments: Description: Research seminar on topics ranging from analysis and logic to mathematical physics.

Meetings will be conducted over Zoom:

Meeting ID: 951 0562 0974

The password is 10 characters, consisting of the name of the ancient Greek mathematician who wrote "Elements" (first letter capitalized) followed by the first 4 primes.