11 citations · 11 across the 2 of their papers we have counts for
5 papers
The Maxwell-Boltzmann approximation for ion kinetic modeling
Claude Bardos, François Golse, Toan T. Nguyen +1
This paper aims to justify the Maxwell-Boltzmann approximation for electrons, preserving the dynamics of ions at the kinetic level. Under sufficient regularity assumption, we provi…
The Diffusion Approximation for the Linear Boltzmann Equation with Vanishing Scattering Coefficient
Claude Bardos, Etienne Bernard, François Golse +1
The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our re…
Nonlinear stability of a Vlasov equation for magnetic plasmas
Frédérique Charles, Bruno Després, Benoît Perthame +1
The mathematical description of laboratory fusion plasmas produced in Tokamaks is still challenging. Complete models for electrons and ions, as Vlasov-Maxwell systems, are computat…
Simulation of Laser Beam Propagation With a Paraxial Model in a Tilted Frame
Marie Doumic, Frédéric Duboc, François Golse +1
We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the…
Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation
Sylvain Desroziers, Frédéric Nataf, Remi Sentis
The aim of this work is to perform numerical simulations of the propagation of a laser in a plasma. At each time step, one has to solve a Helmholtz equation in a domain which consi…