Numerical study of the instability of a plasma flow

The results of the instability investigations of the electro-neutral relativistic plasma flow, consisting from protons and electrons, moving in vacuum with the constant velocity, are describes in the paper. The calculations are provided within the framework of Maxwell–Vlasov equations on 3D model and the following result is received: to a certain moment of time $t_0$ the kinetic energy of protons is almost uniform redistributed between the protons, electrons and emerging for this moment electromagnetic field. In the one dimensional calculations the solution is stable.