Quasineutral limit for Vlasov-Poisson with Penrose stable data
Analysis of PDEs
2015-09-01 v1
Abstract
We study the quasineutral limit of a Vlasov-Poisson system that describes the dynamics of ions in a plasma. We handle data with Sobolev regularity under the sharp assumption that the profile of the initial data in the velocity variable satisfies a Penrose stability condition. As a by-product of our analysis, we obtain a well-posedness theory for the limit equation (which is a Vlasov equation with Dirac distribution as interaction kernel) for such data.
Keywords
Cite
@article{arxiv.1508.07600,
title = {Quasineutral limit for Vlasov-Poisson with Penrose stable data},
author = {Daniel Han-Kwan and Frédéric Rousset},
journal= {arXiv preprint arXiv:1508.07600},
year = {2015}
}