16 citations · 25 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
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…
Stability of the nonlinear Milne Problem for radiative heat transfer system
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
This paper focuses on the nonlinear Milne problem of the radiative heat transfer system on the half-space. The nonlinear model is described by a second order ODE for temperature co…