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The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime

Mihai Bostan 1, 2, 3
3 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : We study here the finite Larmor radius regime for the Vlasov-Poisson equations with strong external magnetic field. One of the key points is to replace the particle distribution by the center distribution of the Larmor circles. The limit of these densities satisfies a transport equation, whose velocity is given by the gyro-average of the electric field.
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https://hal.inria.fr/inria-00139666
Contributor : Mihai Bostan <>
Submitted on : Wednesday, February 20, 2008 - 9:11:54 PM
Last modification on : Friday, April 2, 2021 - 3:36:52 AM
Long-term archiving on: : Friday, November 25, 2016 - 9:35:14 PM

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  • HAL Id : inria-00139666, version 5

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Mihai Bostan. The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime. [Research Report] RR-6159, INRIA. 2007, pp.35. ⟨inria-00139666v5⟩

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