The three-dimensional finite Larmor radius approximation

Daniel Han-Kwan

doi:10.3233/ASY-2009-0955

The three-dimensional finite Larmor radius approximation

Daniel Han-Kwan

École Polytechnique

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

Résumé

Following Frénod and Sonnendrücker [SIAM J. Math. Anal. 32(6) (2001) 1227-1247], we consider the finite Larmor radius regime for a plasma submitted to a large magnetic field and take into account both the quasineutrality and the local thermodynamic equilibrium of the electrons. We then rigorously establish the asymptotic gyrokinetic limit of the rescaled and modified Vlasov-Poisson system in a three-dimensional setting with the help of an averaging lemma.

langue originale	Anglais
Pages (de - à)	9-33
Nombre de pages	25
journal	Asymptotic Analysis
Volume	66
Numéro de publication	1
Les DOIs	https://doi.org/10.3233/ASY-2009-0955
état	Publié - 1 janv. 2010

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10.3233/ASY-2009-0955

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AB - Following Frénod and Sonnendrücker [SIAM J. Math. Anal. 32(6) (2001) 1227-1247], we consider the finite Larmor radius regime for a plasma submitted to a large magnetic field and take into account both the quasineutrality and the local thermodynamic equilibrium of the electrons. We then rigorously establish the asymptotic gyrokinetic limit of the rescaled and modified Vlasov-Poisson system in a three-dimensional setting with the help of an averaging lemma.

KW - Averaging lemma

KW - Finite Larmor radius scaling

KW - Gyrokinetic approximation

KW - Vlasov-Poisson equation

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DO - 10.3233/ASY-2009-0955

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The three-dimensional finite Larmor radius approximation

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