  We are concerned with spherically symmetric solutions to the Euler equations
for the multi-dimensional compressible fluids, which have many applications in
diverse real physical situations. The system can be reduced to one dimensional
isentropic gas dynamics with geometric source terms. Due to the presence of the
singularity at the origin, there are few papers devoted to this problem. The
present paper proves two existence theorems of global entropy solutions. The
first one focuses on the case excluding the origin in which the negative
velocity is allowed, and the second one is corresponding to the case including
the origin with non-negative velocity. The $L^\infty$ compensated compactness
framework and vanishing viscosity method are applied to prove the convergence
of approximate solutions. In the second case, we show that if the blast wave
initially moves outwards and the initial densities and velocities decay to zero
with certain rates near origin, then the densities and velocities tend to zero
with the same rates near the origin for any positive time. In particular, the
entropy solutions in two existence theorems are uniformly bounded with respect
to time.
