Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed.

Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed. We study here the behavior of weak solutions for the relativistic stationary Vlasov-Maxwell system with boundary conditions in a three-dimensional bounded domain with strictly star-shaped boundary, when the light speed becomes infinite. We prove the convergence toward a weak solution for the stationary Vlasov-Poisson system. The time periodic problem and the problem with initial-boundary conditions can be treated by the same method. (c) 2005 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.