  A consistent statistical description of kinetics and hydrodynamics of dusty
plasma is proposed based on the Zubarev nonequilibrium statistical operator
method. For the case of partial dynamics the nonequilibrium statistical
operator and the generalized transport equations for a consistent description
of kinetics of dust particles and hydrodynamics of electrons, ions and neutral
atoms are obtained. In the approximation of weakly nonequilibrium process a
spectrum of collective excitations of dusty plasma is investigated in the
hydrodynamic limit.
