The Vlasov-Poisson system with a perfectly conducting wall: Convex domains

Wenrui Huang, Benoît Pausader, Masahiro Suzuki

We consider the Vlasov--Poisson system in a $C^3$ convex domain $D$ with a perfectly conducting wall. We introduce the asymptotic domain $D_{\infty }$ for the domain $D$. Then under…