The plasma-wall dynamic: wellposedness
arXiv:2607.11200
summary
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 interaction between a plasma and an isolated metallic wall.
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.
Topics & keywords
#plasma physics#vlasov-poisson equations#boundary value problems#well-posedness#kinetic theory#nonlinear boundary conditionsVlasov-PoissonBV solutionsfloating potentialplasma-wall interactionexistence and uniquenessnonlinear boundary condition