  In light of recent work in the global well-posedness of solutions for an
ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and
Iacobelli, 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 $Q_*(t)=|V(t;0,x,v)-V(0;0,x,v)|$, where $V(s;t,x,v)$
represents the solution of the characteristic ordinary differential equation
associated with the Vlasov-Poisson system.
