Conservation laws with a nonlocal flow, Application to pedestrian traffic

Magali Lécureux-Mercier (1)

1 TECHNION - Department of Mathematics

This note is a proceeding of a talk given at the CEMRACS' conference. We review here some macroscopic models of pedestrian traffic in which the velocity vector field depends nonlocally on the density of pedestrians. We compare the properties of these models and prove existence and uniqueness of solutions for these models.

Mots clés: conservation law; nonlocal flow; pedestrian traffic

Domaines: Equations aux dérivées partielles [math.AP]

Magali Lécureux-Mercier. Conservation laws with a nonlocal flow, Application to pedestrian traffic. 2011. ⟨hal-00646705⟩