20 citations · 20 across the 3 of their papers we have counts for
4 papers
An asymptotic preserving scheme for kinetic models for chemotaxis phenomena
Abdelghani Bellouquid, Jacques Tagoudjeu
In this paper, we propose a numerical scheme to solve the kinetic model for chemotaxis phenomena. Formally, this scheme is shown to be uniformly stable with respect to the small pa…
From the Micro-scale to Collective Crowd Dynamics
Nicola Bellomo, Abdelghani Bellouquid, Damian Knopoff
This paper deals with the kinetic theory modeling of crowd dynamics with the aim of showing how the dynamics at the micro-scale is transferred to the dynamics of collective behavio…
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics
Abdel Bellouquid, Juan Calvo, Juanjo Nieto +1
The generalization of the BGK relaxation model to the special relativity setting is revisited here. We deal with several issues related to this relativistic kinetic model which see…
The incompressible Navier-Stokes for the nonlinear discrete velocity models
A. Bellouquid
We establish the incompressible Navier--Stokes limit for the discrete velocity model of the Boltzmann equation in any dimension of the physical space, for densities which remain in…