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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1-25
Nombre de pages	25
journal	Journal of Differential Equations
Volume	263
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/j.jde.2017.01.018
état	Publié - 5 juil. 2017

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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.",

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AU - Han-Kwan, Daniel

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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.

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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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SN - 0022-0396

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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

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