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math.AP2025
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…
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…