  This paper is concerned with the evolution of the periodic boundary value
problem and the mixed boundary value problem for a compressible mixture of
binary fluids modeled by the Navier-Stokes-Cahn-Hilliard system in one
dimensional space. The global existence and the large time behavior of the
strong solutions for these two systems are studied. The solutions are proved to
be asymptotically stable even for the large initial disturbance of the density
and the large velocity data. We show that the average concentration difference
for the two components of the initial state determines the long time behavior
of the diffusive interface for the two-phase flow.
