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Scardia: Optimality of the ellipse for a class of nonlocal energies - (online)

Scardia:
Nonlocal energies are continuum models for large systems of interacting particles. They have countless applications, from biological systems to granular media, from vortices in superconductors to defects in metals.

A fundamental question in applications is the characterisation of minimisers of these energies; such minimisers correspond to ‘aggregation patterns’ and they are observed experimentally in biological systems and materials science.


In this talk I will discuss the `persistence' of the ellipse as energy minimiser, focusing on a class of perturbations of Coulomb energies.

This is based on ongoing work in collaboration with Joan Mateu, Maria Giovanna Mora, Luca Rondi and Joan Verdera.


http://cvgmt.sns.it/seminar/832/

When
Wed Sep 8, 2021 9:30am – 10:30am Coordinated Universal Time