Calculus of Variations and Geometric Measure Theory

Recent results on active Brownian particle systems and related models

Simon Michael Schulz

created by malchiodi on 28 Nov 2023

30 nov 2023 -- 14:30   [open in google calendar]

Centro de Giorgi, Sala Conferenze


The aim of this talk will be to present recent contributions on existence, uniqueness, and regularity of solutions of equations arising as limits of many-particle systems; in particular we shall focus on particles that are self-propelled. Such equations arise naturally in the modelling of interacting agents, competing biological populations, etc. We will give an overview of the field and make links to non-linear parabolic equations, kinetic theory, as well as stochastic analysis