Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime

Abstract In the light of recent work in the global well-posedness of solutions for an ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and Iacobelli 1, the current work focuses on the moment propagation of the corresponding system in quasi-neutral regime. Such moment propagation result relies on an estimate of Q_* (t) =|V (t;0, x, v) -V (0;0, x, v) | Q ∗ (t) = | V (t ; 0, x, v) - V (0 ; 0, x, v) |, where V (s ; t, x, v) represents the solution of the characteristic ordinary differential equation associated with the Vlasov-Poisson system. The main goal of this work is to serve the future research on quasi-neutral limit for ionic Vlasov-Poisson system in R³ R 3.