Modeling, analysis, computation and application of kinetic equations

Swarming models with repulsive-attractive effects

José Carrillo

Imperial College London

I will present a survey of the main results about first and second order models of swarming where repulsion and attraction are modeled through pairwise potentials. We will mainly focus on the stability of the fascinating patterns that you get by random data particle simulations, flocks and mills, and their qualitative behavior.