2 papers
math.AP2026
A coupled prediction-correction Hughes' model for congested crowd motion
Hamza Ennaji, Noureddine Igbida, Ghadir Jradi +1
In this work, we introduce a new macroscopic model for crowd motion inspired by the celebrated Hughes' model \cite{Hughes2002, Hughes2003}, which couples a nonlinear conservation l…
math.AP2025
Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas
Mariam Al Khatib, Said Gounane, Noureddine Igbida +1
This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze…