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math.AP2026
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…
math.AP2024
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…
math.AP2022
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…