Seminario di Equazioni Differenziali e Applicazioni: “Analysis and Control of Crowds”

Giovedì 28 Luglio 2016, ore 12:30 - Aula 2AB40 - Francesco Rossi


Giovedì 28 Luglio 2016 alle ore 12:30 in Aula 2AB40, Francesco Rossi (Université Aix-Marseille) terrà un seminario dal titolo “Analysis and Control of Crowds”.

In this talk, we first present transport equations with non-local velocities, that are used in several models of pedestrian crowds, road traffic and opinion dynamics. We describe a complete framework for existence and uniqueness of solutions in Wasserstein spaces. We then define some numerical schemes to compute solutions, and prove their convergence. Finally, we describe our recent results of control of transport equations, focusing on two particular examples: control of crowds with leaders and control of cooperative crowds with local policies. These results are in collaboration with B. Piccoli, P. Goatin, E. Trélat and M. Fornasier.

Rif. Int. M. Bardi, F. Ancona, P. Mannucci.

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