This paper is a proceeding of the conference hyp2012 that was held in Padova in June 2012. Models for crowd dynamics are presented and compared. Well posedness results allow to exhibit the existence of optimal controls in various situations. A new approach not based on partial differential equations is also briefly considered.
@article{arxiv.1211.0408,
title = {Conservation laws in the modeling of moving crowds},
author = {Rinaldo M. Colombo and Mauro Garavello and Magali Lécureux-Mercier and Nikolay Pogodaev},
journal= {arXiv preprint arXiv:1211.0408},
year = {2012}
}