Large-scale behavior of self-propelled particles
Friday, November 16, 3PM – 4PM
Self-propelled particles (SPP) are widely used to describe biological systems such as flock of birds, school of fish or bacterial aggregates. In contrast with particle systems in physics, a system of SPP does not conserve momentum or energy and this lack of conservation generates several difficulties. In this talk, we are interested in the large-scale limit of those systems. Using kinetic theory, we derive "macroscopic" models (PDEs) from these particle systems. After that, we discuss how we can solve numerically the models derived (hyperbolic systems). The challenge is to deal with "non-conservative" systems where the uniqueness of solutions is still an open problem.
Hosted by Irene Gamba