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The Vlasov-Maxwell system with strong initial magnetic field. Part I : Guiding-center approximation

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 : In this paper we study the asymptotic behavior of the Vlasov-Maxwell equations with strong magnetic field. More precisely we investigate the Cauchy problems associated to strong initial magnetic fields. We justify the convergence towards the so-called "guiding center approximation" when the dynamics is observed on a slower time scale than the plasma frequency. Our proofs rely on the modulated energy method.
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https://hal.inria.fr/inria-00139665
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Submitted on : Wednesday, February 20, 2008 - 9:14:08 PM
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  • HAL Id : inria-00139665, version 4

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Mihai Bostan. The Vlasov-Maxwell system with strong initial magnetic field. Part I : Guiding-center approximation. [Research Report] RR-6158, INRIA. 2007. ⟨inria-00139665v4⟩

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