Global weak solutions of Vlasov‐Maxwell systems

Abstract

We study here the Vlasov‐Maxwell system in its classical and relativistic form. We prove the stability of solutions in weak topologies and deduce from this stability result the global existence of a weak solution with large initial data. The main tools consist of a new regularity result for velocity averages of solutions of some general linear transport equations and the method of renormalization introduced by the authors in previous work. Copyright © 1989 Wiley Periodicals, Inc., A Wiley Company