Three-dimensional full Euler flows in axisymmetric nozzles

In this paper, we consider global subsonic compressible flows through general infinitely long nozzles. The flow is governed by the steady full Euler equations. We find a new invariant along streamline. Take advantages of this, we reformulate the full Euler system into quasilinear second order equations of stream function. With the upstream condition and the solid wall boundary condition, we obtain the existence, uniqueness, asymptotic behavior and the critical mass flux.