Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in higher dimension

TL;DR

This paper studies the quasineutral limit of the Vlasov-Poisson system in higher dimensions, providing rigorous justification for the limit under small perturbations of analytic initial data.

Contribution

It extends previous results to higher dimensions, establishing Wasserstein stability estimates for the quasineutral limit of Vlasov-Poisson.

Findings

Justifies the quasineutral limit in 2D and 3D for rough perturbations

Generalizes prior work to higher dimensions

Uses Wasserstein stability estimates

Abstract

This work is concerned with the quasineutral limit of the Vlasov-Poisson system in two and three dimensions. We justify the formal limit for very small but rough perturbations of analytic initial data, generalizing the results of \cite{HI} to higher dimension.