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math.AP2024
Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System
Noureddine Igbida
This work introduces a new class of cross-diffusion systems for studying overcrowding dispersal of two species. The approach, based on proximal minimization energy through a minimu…
math.AP2024
Minimum Flow Steepest Descent Approach for Nonlinear PDE
Noureddine Igbida
This paper presents a minimum flow approach applicable to a wide range of doubly nonlinear diffusion problems. We introduce a minimum flow steepest descent algorithm that seeks an…
math.AP2024
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…