5 papers
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…
-Estimates for Non-Linear Parabolic PDE with Linear Drift
El Mahdi Erraji, Noureddine Igbida, Fahd Karami +1
In the present work, we establish space Bounded Variation regularity of the solution for a non-linear parabolic partial differential equations involving a linear drift term.…
Mathematical Study of Reaction-Diffusion in Congested Crowd Motion
Noureddine Igbida, Fahd Karami, Driss Meskine
This paper establishes existence, uniqueness, and an L^1-comparison principle for weak solutions of a PDE system modeling phase transition reaction-diffusion in congested crowd mot…
A granular model for crowd motion and pedestrian flow
Noureddine Igbida, José Miguel Urbano
We study a granular model for congested crowd motion and pedestrian flow. Our approach is based on an approximation through a Hele-Shaw type equation involving a degenerate operato…
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…