Separated characteristics and global solvability for the one and one-half dimensional vlasov maxwell system

Abstract

The motion of a collisionless plasma - a high-temperature, low- density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space dimension and two momentum dimen- sions without the assumption of relativistic velocity corrections. The main results are bounds on the spatial and velocity supports of the particle distribu- tion function and uniform estimates on derivatives of this function away from the critical velocity |v1| = 1. Additionally, for initial particle distributions that are even in the second velocity argument v2, the global-in-time existence of solutions is shown.