From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov

Daniel Han-Kwan

doi:10.1007/s00220-013-1825-8

From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov

Daniel Han-Kwan

École Polytechnique

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

Résumé

We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-de Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.

langue originale	Anglais
Pages (de - à)	961-993
Nombre de pages	33
journal	Communications in Mathematical Physics
Volume	324
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00220-013-1825-8
état	Publié - 1 déc. 2013

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10.1007/s00220-013-1825-8

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title = "From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov",

abstract = "We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-de Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.",

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AU - Han-Kwan, Daniel

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N2 - We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-de Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.

AB - We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-de Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.

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M3 - Article

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From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov

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