BCAM Seminar Traffic flow and intelligent motions of large groups

In recent years a growing interdisciplinary interest showed up for moving groups of intelligent agents, which includes vehicular traffic, pedestrian flows, moving robots and animal groups.

We first review various results and applications about modelling of vehicular traffic via conservation laws, with special focus on networks. Then we discuss an alternative mathematical framework,based on time-evolving measures, which can be applied to pedestrian flows and animal/robot groups. The latter is still macroscopic but takes into account microscopic issues.