Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system

Mihai Bostan (1, 2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 CALVI - Scientific computation and visualization

In this paper we investigate the continuous dependence with respect to the initial data of the solutions for the 1D and 1.5D relativistic Vlasov-Maxwell system. More precisely we prove that these solutions propagate with finite speed. We formulate our results in the framework of mild solutions, i.e., the particle densities are solutions by characteristics and the electro-magnetic fields are Lipschitz continuous functions.

Mots clés: finite speed propagation; Vlasov-Maxwell equations; mild solutions; characteristics; finite speed propagation.

Domaines: Equations aux dérivées partielles [math.AP]

Mihai Bostan. Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system. [Research Report] RR-6164, INRIA. 2006, pp.26. ⟨inria-00120719v4⟩