Outgoing radiation from an isolated collisionless plasma

The asymptotic properties at future null infinity of the solutions of the relativistic Vlasov-Maxwell system whose global existence for small data has been established by the author in a previous work are investigated. These solutions describe a collisionless plasma isolated from incoming radiation. It is shown that a non-negative quantity associated to the plasma decreases as a consequence of the dissipation of energy in form of outgoing radiation. This quantity represents the analogue of the Bondi mass in general relativity. 1 Introduction and main results The dynamics of a collisionless plasma in interaction with the mean electromagnetic field generated by the charges is described by the relativistic Vlasov-Maxwell system. In this model the unknowns are the electromagnetic field (E,B) and a set of N non-negative functions fα which give the distribution