The jet problem for three-dimensional axisymmetric compressible subsonic flows with large vorticity

In this paper, we establish the existence of three-dimensional axisymmetric compressible jet flows for steady Euler system with large vorticity by using the variational method. More precisely, for given axial velocity of the flow at the upstream, if the mass flux is sufficiently large, we can find a unique outer pressure such that a smooth subsonic three-dimensional axisymmetric jet flow with large vorticity exists and has certain far fields behavior.