boundary value problems 1kinetic theory 1nonlinear boundary conditions 1plasma physics 1vlasov-poisson equations 1well-posedness 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
The plasma-wall dynamic: wellposedness
Mehdi Badsi, Bastien Grosse
The paper proves existence and uniqueness of bounded variation solutions for a Vlasov‑Poisson boundary value problem with a nonlinear floating potential condition, modeling the int…
math.AP2025
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.NA2025
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…