Plasma instability in the relativistic jets

Last time the grate interest is seen to the processes in the relativistic jets. Hard radiation of x-ray and $\gamma$-ray are connecting with these objects. The possible mechanisms of plasma instabilities are considered in the frame of the equations of Maxwell-Vlasov. The cause of development of plasma instabilities is small difference in velocity of protons and electrons. Hard radiation of x-ray and $\gamma$-ray is consequence of these processes.