Special Session 95: 

Swarming models with local alignment effects: phase transition & hydrodynamics

Jose Antonio Carrillo
Imperial College London
England
Co-Author(s):    
Abstract:
I will make a review of swarming models with repulsive-attractive effects focusing on two new aspects: phase transitions for the local Cucker-Smale type model and self-organized hydrodynamics of the Vicsek model with fixed speed from asymptotic speed Cucker-Smale models by penalization. In short, we will show that the asymptotic speed Cucker-Smale model behaves in terms of hydrodynamics and phase transitions as the Vicsek model with fixed speed for large friction parameter.