Orateur : Carlotta Donadello
Établissement : Université de Franche-Comté (France)
Dates : 2024-11-28 – 2024-11-28
Heures : 14:00 – 14:00
Lieu : Salle 0-3
Résumé :
We briefly recall the classical ARZ second order model for vehicular traffic, and we describe how it can be modified to take into account the presence of obstacles and heterogeneity of the road.
Then, we present some results on the theoretical and numerical investigation of the resulting systems of PDEs.
Our approach exploits recent advances on scalar conservation laws with point wise constrained or discontinuous flux, but the particular structure of the system asks for specific technical solutions and some relevant questions remain open.