Speaker
Prof.
Maria Giovanna Mora
(Università di Pavia)
Description
Nonlocal interaction energies play a central role in describing the collective behavior of large particle systems in a wide range of applications. In this lecture we will focus on interactions that are short-range repulsive and long-range attractive. We will review the key results on the existence and uniqueness of minimizers, and present their explicit characterization in the classical case of isotropic kernels with Riesz-type repulsion. We will then show how a complete characterization can be given for a broad class of anisotropic variants of this repulsive kernel. If time permits, we will conclude with a discussion of open problems and future directions.
Author
Prof.
Maria Giovanna Mora
(Università di Pavia)