Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle

In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. For general infinitely long axisymmetric nozzles, it is worth noting that this is a first result containing non-trivial swirl velocity.