  Local solutions of the multidimensional Navier-Stokes equations for
isentropic compressible flow are constructed with spherically symmetric initial
data between a solid core and a free boundary connected to a surrounding vacuum
state. The viscosity coefficients $\lambda, \mu$ are proportional to
$\rho^\theta}$, $0<\theta<\gamma$, where $\rho$ is the density and $\gamma>1$
is the physical constant of polytropic fluid. It is also proved that no vacuum
develops between the solid core and the free boundary, and the free boundary
expands with finite speed.
