  The open problem of derivation of the relativistic Vlasov equation for the
systems of charged particles moving with the velocities up to the speed of
light and creating the electromagnetic field in accordance with the full set of
the Maxwell equations is considered. Moreover, the method of derivation is
firstly illustrated on the nonrelativistic kinetic model. Independent
derivation of the relativistic hydrodynamics is also demonstrated. Key role of
these derivations of the hydrodynamic and kinetic equations includes the
explicit operator of averaging on the physically infinitesimal volume suggested
by L.S. Kuzmenkov.
