The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of
electron density from kinetic models. First, under reasonable regularity assumption, we …

This work is devoted to the numerical simulation of the Bhatnagar--Gross--Krook (BGK)
equation for two species in the fluid limit using a particle method. Thus, we are interested in …

We consider various sets of Vlasov-Fokker-Planck equations modeling the dynamics of
charged particles in a plasma under the effect of a strong magnetic field. For each of them in …

This book deals with the kinetic modelling of gas mixtures. It extends the existing literature in
mathematics for one species of gas to the case of gas mixtures. This is more realistic in …

The present work aims to justify on a formal level the obtention of the electron Boltzmann
relation from a fully kinetic description of magnetically confined fusion plasmas, performing a …

The current manuscript is a final report on the activities carried out under the Project LDRD-
CIS# 226834. In scientific terms, the work reported in this manuscript is a continuation of the …

Goal of this paper is to investigate several numerical schemes for the resolution of two
anisotropic Vlasov equations. These two toy-models arise from a kinetic description of a …

Most plasmas are highly non-equilibrium systems, and are characterized by a variety of
disparate temporal and spatial scales. They must be described at the kinetic level in term of …

The purpose of this paper is to bridge kinetic plasma descriptions and low-frequency single-
fluid models. More specifically, the asymptotics leading to magnetohydrodynamic regimes …

This thesis is devoted to the mathematical study of some models of partial differential
equations from plasma physics. We are mainly interested in the theoretical study of various …