  In this work, we establish a class of globally defined, large solutions to
the free boundary problem of compressible Navier-Stokes equations with constant
shear viscosity and vanishing bulk viscosity. We establish such solutions with
initial data perturbed arbound any self-similar solution when \gamma > 7/6. In
the case when 7/6 < \gamma < 7/3, as long as the self-similar solution has
bounded entropy, a solution with bounded entropy can be constructed. It should
be pointed out that the solutions we obtain in this fashion do not in general
keep being a small perturbation of the self-similar solution due to the second
law of thermodynamics, i.e., the growth of entropy. If in addition, in the case
when 11/9 < \gamma < 5/3, we can construct a solution as a global-in-time small
perturbation of the self-similar solution and the entropy is uniformly bounded
in time.
