On the vlasov–maxwell system with a strong magnetic field*

Francis Filbet, Tao Xiong, Eric Sonnendrücker

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10 Scopus citations


This paper establishes the long time asymptotic limit of the 2d×3d Vlasov–Maxwell system with a strong external magnetic field. Hence, a guiding-center approximation is obtained in the two-dimensional case with a self-consistent electromagnetic field given by Poisson type equations. Then, we perform several numerical experiments with high order approximation of the asymptotic model, which provide a solid validation of the method and illustrate the effect of the self-consistent magnetic field on the current density.

Original languageEnglish
Pages (from-to)1030-1055
Number of pages26
JournalSIAM Journal on Applied Mathematics
Issue number2
StatePublished - 2018


  • Asymptotic limit
  • Finite difference methods
  • High order scheme
  • Vlasov–Maxwell system


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