  We are concerned with global weak solutions to the isentropic compressible
Euler equations with cylindrically symmetric rotating structure, in which the
origin is included. Due to the presence of the singularity at the origin, only
the case excluding the origin $|\vec{x}|\geq1$ has been considered by
Chen-Glimm \cite{Chen3}. The convergence and consistency of the approximate
solutions are proved by using $L^{\infty}$ compensated compactness framework
and vanishing viscosity method. We observe that if the blast wave initially
moves outwards and if initial density and velocity decay to zero at certain
algebraic rate near the origin, then the density and velocity decay at the same
rate for any positive time. In particular, the initial normal velocity is
assumed to be non-negative, and there is no restriction on the sign of initial
angular velocity.
