  Strict mathematics reveals that the strict solution of a Vlasov-Maxwell
equation set cannot be of a zero-temperature mathematical form. This universal
property of Vlasov-Maxwell system can lead to a closed equation set of three
macroscopic quantities: selfconsistent fields E, B and fluid velocity u, and
hence their exact solutions.Strict solution of microscoipc distribution
governed by self-consistent electromagnetic fields is found to be a universal
extension of well-known BGK mode, which corresponds to electrostatic case.
