• Publications
  • Influence
Derivation of viscous correction terms for the isothermal quantum Euler model
The aim of this paper is to compute viscous correction terms for the isothermal quantum Euler system of Degond, Gallego, M ehats (SIAM Multiscale Model Simul.,6, 2007). We derive this model by usingExpand
  • 46
  • 9
  • PDF
Derivation of a BGK model for mixtures
The aim of this article is to construct a BGK operator for gas mixtures starting from the true Navier-Stokes equations. That is the ones with transport coefficients given by the hydrodynamic limit ofExpand
  • 41
  • 2
A new approach for the ellipsoidal statistical model
In this paper we aim to introduce a systematic way to derive relaxation terms for the Boltzmann equation based on the minimization problem for the entropy under moments constraints (Levermore in J.Expand
  • 31
  • 2
  • PDF
An Approximation of the $$M_2$$M2 Closure: Application to Radiotherapy Dose Simulation
TLDR
We propose an approximation of the closure for the first two models in the hierarchy, the $$M_1$$M1 and $M_2$$M2 models valid in one, two or three dimensions of space. Expand
  • 11
  • 2
  • PDF
General moment system for plasma physics based on minimum entropy principle
In plasma physics domain, the electrons transport can be described from kinetic and hydrodynamical models. Both methods present disadvantages and thus cannot be considered in practical computationsExpand
  • 16
  • 2
  • PDF
Dissipative hydrodynamic models for the diffusion of impurities in a gas
TLDR
We derived an hydrodynamic approximation for linear dissipative Boltzmann equations for Maxwell molecules that keep the evolution equations for the mean velocity and the temperature of particles. Expand
  • 11
  • 1
  • PDF
An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons
In plasma physics domain, the electron transport is described with the Fokker-Planck-Landau equation. The direct numerical solution of the kinetic equation is usually intractable due to the largeExpand
  • 17
  • 1
  • PDF
An ellipsoidal statistical model for gas mixtures
In this paper, we propose a construction of a new BGK model generalizing the Ellipsoidal Statistical Model ([2], [19]) to the context of gas mixtures. The derivation of the model is based on theExpand
  • 25
  • 1
  • PDF
Modelling and Numerical Approximation for the Nonconservative Bitemperature Euler Model
This paper is devoted to the study of the nonconservative bitemperature Euler system. We firstly introduce an underlying two species kinetic model coupled with the Poisson equation. The bitemperatureExpand
  • 8
  • 1
  • PDF
On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases
In this paper, we propose a formal derivation of the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic gases. We use a direct extension of the model devised in [ 8 , 16 ] forExpand
  • 9
  • 1
  • PDF