The plasma-wall dynamic: wellposedness
Analysis of PDEs
2026-07-13 v1
Abstract
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 potential. It models the dynamical interaction between a plasma and an electrically isolated metallic wall. The nonlinear boundary condition is the so-called floating potential equation of plasma physics.
Cite
@article{arxiv.2607.11200,
title = {The plasma-wall dynamic: wellposedness},
author = {Mehdi Badsi and Bastien Grosse},
journal= {arXiv preprint arXiv:2607.11200},
year = {2026}
}