  Recently, for periodic initial data with initial density allowed to vanish,
Huang and Li [1] establish the global existence of strong and weak solutions
for the two-dimensional compressible Navier{Stokes equations with no
restrictions on the size of initial data provided the bulk viscosity
coefficient is \lambda = \rho^\beta with \beta > 4/3. Moreover, the large-time
behavior of the strong and weak solutions are also obtained, in which the
velocity gradient strongly converges to zero in L^2 norm. In this note, we
further point out that the velocity strongly converges to an equilibrium
velocity in H^1 norm, in which the equilibrium velocity is uniquely determined
by the initial data. Our result can also be regarded a correction for the
result of large-time behavior of velocity in [2].
