5 papers
The plasma-wall dynamic: wellposedness
Mehdi Badsi, Bastien Grosse
We prove existence and uniqueness in BV for a Vlasov-Poisson boundary value problem which takes into account a nonlinear boundary condition at the boundary on the electric potentia…
Discrete stability estimates for the pressureless Euler-Poisson-Boltzmann equations in the Quasi-Neutral limit
Mehdi Badsi, Nicolas Crouseilles
We propose and study a fully implicit finite volume scheme for the pressureless Euler-Poisson-Boltzmann equations on the one dimensional torus. Especially, we design a consistent a…
Linear and Non linear stability for the kinetic plasma sheath on a bounded interval
Mehdi Badsi
Plasma sheaths are inhomogeneous stationary states that form when a plasma is in contact with an absorbing wall. We prove linear and non linear stability of a kinetic sheath statio…
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe
Mehdi Badsi, Ludovic Godard-Cadillac
In this article, we study a collisionless kinetic model for plasmas in the neighborhood of a cylindrical metallic Langmuir probe. This model consists in a bi-species Vlasov-Poisson…
Numerical stability of plasma sheath
Mehdi Badsi, Michel Mehrenberger, Laurent Navoret
We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/el…