Orateur
Description
In this talk I will focus on the mean-field limit of the Motsch–Tadmor model for flocking birds, which refines the classical Cucker–Smale model through a local normalization. While the mean-field limit is rigorously established for the Cucker–Smale model, the asymmetry of the Motsch–Tadmor interactions breaks the standard tools, leaving the rigorous mean-field limit an open problem. I will present an overview of the model and the problem, together with a propagation of chaos (and hence the mean-field limit) result for the Motsch–Tadmor dynamics, obtained by coupling the N-particle and kinetic flows and controlling their Wasserstein distance via a Gronwall argument.
Joint work with: Stefano Rossi (Sapienza University of Rome) and Lara Trussardi (University of Graz)