On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system

Reinel Sospedra-Alfonso

Published 2009-10-20, updated 2009-12-25Version 2

We show that weak solutions of the relativistic Vlasov-Maxwell system preserve the total energy provided that the electromagnetic field is locally of bounded variation and, for any $\lambda$> 0, the one-particle distribution function has a square integrable $\lambda$-moment in the momentum variable.