High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system

Mihai Bostan (1, 2) , Thierry Goudon (3, 4)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 CALVI - Scientific computation and visualization
3 LPP - Laboratoire Paul Painlevé - UMR 8524
4 SIMPAF - SImulations and Modeling for PArticles and Fluids

In this paper we derive the high-electric-field limit of the three dimensional Vlasov-Maxwell-Fokker-Planck system. We use the relative entropy method which requires the smoothness of the solution of the limit problem. We obtain convergences of the electro-magnetic field, charge and current densities.

Mots clés: High-field limit; Vlasov-Maxwell-Fokker-Planck system; Relative entropy

Domaines: Equations aux dérivées partielles [math.AP]; Physique des plasmas [physics.plasm-ph]

Mihai Bostan, Thierry Goudon. High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2008, 25 (6), pp.1221-1251. ⟨10.1016/j.anihpc.2008.07.004⟩. ⟨hal-00594959⟩