Rotationally symmetric solutions to isothermal compressible Navier-Stokes equations

We consider a boundary value problem for compressible Navier-Stokes equations with the pressure function $p=\varrho$, where $\varrho$ is the density of fluid. It is assumed the given data and a flow domain are invariant with respect to rotations around the vertical axis. The existence of weak rotationally symmetric solutions is proved.