16 citations · 25 across the 9 of their papers we have counts for
3 papers · 2 filters
Stability Analysis of a Non-Separable Mean-Field Games for Pedestrian Flow in Large Corridors
Mohamed Ghattassi, Nader Masmoudi, Eliot Pacherie
We investigate the existence and stability of small perturbations of constant states of the generalized Hughes model for pedestrian flow in an infinitely large corridor. We show th…
Non-separable Mean Field Games for Pedestrian Flow: Generalized Hughes Model
Mohamed Ghattassi, Nader Masmoudi
In this paper, we present a new generalized Hughes model designed to intelligently depict pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or c…
Diffusive limits of the steady state radiative heat transfer system: Curvature effects
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed i…