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arXiv · 2607.11200

The plasma-wall dynamic: wellposedness

Mehdi Badsi·Bastien Grosse
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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.

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Mehdi Badsi, Bastien Grosse. 2026-07-13. The plasma-wall dynamic: wellposedness. https://arxiv.org/abs/2607.11200

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