Macroscopic Models for Pedestrian Flows

International audienceIn this paper we present macroscopic models for pedestrian flows that recently appeared in the literature. The first one was proposed by Colombo, Rosini, 2005. In a 1D setting, this model properly describes the movements of pedestrians, the onset of panic and the dynamics of a panicking crowd. Furthermore, its assumptions were experimentally confirmed by an empirical study of a crowd crush, see Helbing, Johansson, Al-Abideen, 2007. Then, we consider a 2D model that aims at describing similar phenomena while taking care of more complex geometries. Numerical integrations show that some realistic features are capture