  For smooth initial data, we establish the global existence and uniqueness of
strong and classical solutions to the Cauchy problem for the barotropic
compressible Navier-Stokes equations in two spatial dimensions with vacuum
state as far field and with no restrictions on the size of initial data
provided the shear viscosity is a positive constant and the bulk one is
$\lambda = \rho^{\beta}$ with $\beta>4/3$.
