Kinetic Description of Social Dynamics: From Consensus to Flocking

Stability of Stationary States for Repulsive-Attractive Potentials

José Carrillo de la Plata

Imperial College London

I will discuss nonlocal integral continuity equations for which notrivial stationary states show interesting properties and patterns as shown numerically. They are first order minimal models for swarming. We will discuss their nonlinear stability/instability and the dimension of their support. They lead to interesting questions of calculus of variations in measure settings.