From Particle to Kinetic and Hydrodynamic Descriptions of Flocking

Eitan Tadmor
University of Maryland

We discuss a particle model for flocking introduced by Cucker & Smale (C-S). We derive a Vlasov-type kinetic model for the C-S particle model and study its time-asymptotic flocking behavior in case the particle interaction is sufficiently strong. We then follow up with a hydrodynamic description of flocking and we show flocking behavior without closure of higher moments. Several questions arise when the particle interactions are local and we propose particle0like models of group dynamics.

Back to Workshop I: Computational Kinetic Transport and Hybrid Methods