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arXiv · 1508.07600

Quasineutral limit for Vlasov-Poisson with Penrose stable data

Daniel Han-Kwan·Frédéric Rousset
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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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Daniel Han-Kwan, Frédéric Rousset. 2015-08-30. Quasineutral limit for Vlasov-Poisson with Penrose stable data. https://arxiv.org/abs/1508.07600

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