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

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 .