Quasineutral limit for Vlasov-Poisson with Penrose stable data Article - 2016

Daniel Han-Kwan, Frédéric Rousset

Daniel Han-Kwan, Frédéric Rousset, « Quasineutral limit for Vlasov-Poisson with Penrose stable data  », Annales scientifiques de l’Ecole normale supérieure, 2016, pp. 1445-1495

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.

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