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

Daniel Han-Kwan; Mikaela Iacobelli

doi:10.1016/j.jde.2017.01.018

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

Daniel Han-Kwan
, Mikaela Iacobelli

École Polytechnique

University of Cambridge

Research output: Contribution to journal › Article › peer-review

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 [12] to higher dimension.

Original language	English
Pages (from-to)	1-25
Number of pages	25
Journal	Journal of Differential Equations
Volume	263
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2017.01.018
Publication status	Published - 5 Jul 2017

Keywords

Quasineutral limit
Vlasov–Poisson system
Wasserstein distance

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10.1016/j.jde.2017.01.018

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title = "Quasineutral limit for Vlasov–Poisson via Wasserstein stability estimates in higher dimension",

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 [12] to higher dimension.",

keywords = "Quasineutral limit, Vlasov–Poisson system, Wasserstein distance",

author = "Daniel Han-Kwan and Mikaela Iacobelli",

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AU - Han-Kwan, Daniel

AU - Iacobelli, Mikaela

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N2 - 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 [12] to higher dimension.

AB - 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 [12] to higher dimension.

KW - Quasineutral limit

KW - Vlasov–Poisson system

KW - Wasserstein distance

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DO - 10.1016/j.jde.2017.01.018

M3 - Article

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EP - 25

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

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

Abstract

Keywords

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