1 juillet 2024
XLIM, University of Limoges, Faculty of Sciences and Techniques
Fuseau horaire Europe/Paris

On a mathematical model for crowd motion

1 juil. 2024, 17:15
45m
XR 201, XLIM Building (XLIM, University of Limoges, Faculty of Sciences and Techniques)

XR 201, XLIM Building

XLIM, University of Limoges, Faculty of Sciences and Techniques

123 Avenue Albert Thomas, 87060 Limoges France

Orateur

Hamza Ennaji (LJK)

Description

In this talk we present a new variant of the mathematical prediction-correction model for crowd motion. As the prediction step is somehow classical and performed via a transport equation, we shall focus on the correction step which relies on a minimum flow problem à la Beckmann and allows handling the congestion phenomenon. We discuss some duality results and how to solve the minimum flow problem via a primal-dual algorithm. We provide some numerical examples to illustrate our approach.

Auteur principal

Hamza Ennaji (LJK)

Documents de présentation

Aucun document.