16 citations · 25 across the 9 of their papers we have counts for
10 papers
Local Turnpike Stability for Two-Population Second-Order Mean-Field Game Systems
Mohamed Ghattassi, Fanze Kong, Nader Masmoudi
This paper establishes a local turnpike property for a two-population, second-order mean-field game system with a quadratic Hamiltonian, in which the running cost for each populati…
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study
Prajwal Chauhan, Salah Eddine Choutri, Mohamed Ghattassi +2
This paper investigates the limitations of neural operators in learning solutions for a Hughes model, a first-order hyperbolic conservation law system for crowd dynamics. The model…
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…
Diffusive limits of the steady state radiative heat transfer system: Boundary layers
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
In this paper, we study the diffusive limit of the steady state radiative heat transfer system for non-homogeneous Dirichlet boundary conditions in a bounded domain with flat bound…