In this talk, I will describe models of the movement of pedestrian crowds based on a framework developed by R.L. Hughes ("A continuum theory for the flow of pedestrians", 2002). Anisotropy in these models can come from two main sources: inter-crowd and intra-crowd interactions. I will explain why anisotropic interactions result in potential difficulties for the consistency and stability of these models. I will also discuss numerical simulations for the corresponding system of PDEs based on a locking sweeping approach.

(Joint work with A. Vladimirsky; extends the numerical tests by L.H. Arnold.)