  A fluid-particle model is investigated in the present paper, which consists
of the compressible Navier-Stokes equations coupled with the Vlasov equation
though a nonlinear drag force. We consider the initial value problem for the
one-dimensional compressible Navier-Stokes-Vlasov system and establish the
global existence and uniqueness of the weak solution for general initial data
in either spatial periodic domain or spatial real line, which is shown to be a
classical solution for regular initial data.
