Some aspects of mean-field type modeling of pedestrian crowd dynamics
Title: Some aspects of mean-field type modeling of pedestrian crowd dynamics
Speaker:Boualem Djehiche(Department of Mathematics, KTH Royal Institute of Technology)
Time and Venue: Sep 22, 10:00-11:00, N602
Abstract: In this talk some recent results on a class of (anonymous)
pedestrian crowd models using mean-field type control and games will be
reviewed. The considered crowd models include a nonlocal aversion
feature and arbitrarily but finitely many interacting crowds.
The nonlocal aversion feature grants pedestrians a ’personal space’
where crowding is undesirable. The model is treated as a mean-field
type game which is shown to be derived from a particle picture.
Solutions to the mean-field type game are characterized via a
Pontryagin-type Maximum Principle. The behavior of a crowd acting under
nonlocal congestion is illustrated by a numerical simulation. I will
also mention an extension which includes evacuation strategies, where
anonymity is relaxed.
This is joint work with A. Aurell.