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Reports (Research Report) Year : 2007

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

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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Dates and versions

inria-00139665 , version 1 (02-04-2007)
inria-00139665 , version 2 (05-04-2007)
inria-00139665 , version 3 (24-04-2007)
inria-00139665 , version 4 (20-02-2008)

Identifiers

  • HAL Id : inria-00139665 , version 4

Cite

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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