ON THE VLASOV-MAXWELL SYSTEM WITH A STRONG EXTERNAL MAGNETIC FIELD

Francis Filbet (1) , Tao Xiong (1, 2) , Eric Sonnendr¨uckersonnendr¨ Sonnendr¨ucker (3)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 South China Normal University
3 IPP - Max-Planck-Institut für Plasmaphysik [Garching]

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 propose a high order approximation of the asymptotic model and perform several numerical experiments which provide a solid validation of the method and illustrate the effect of the self-consistent magnetic field on the current density.

Mots clés: Finite difference methods; Asymptotic limit; High order scheme; Vlasov-Maxwell system

Domaines: Analyse numérique [math.NA]

Francis Filbet, Tao Xiong, Eric Sonnendr¨uckersonnendr¨ Sonnendr¨ucker. ON THE VLASOV-MAXWELL SYSTEM WITH A STRONG EXTERNAL MAGNETIC FIELD. SIAM Journal on Applied Mathematics, 2018, 78 (2), pp.1030-1055. ⟨hal-01437310⟩