Abstract
In the recent work ([1], 2024) by Y. Li et al., the existence and uniqueness of the two-dimensional compressible subsonic jet flow with general vorticity were established. As a follow-up research, we will investigate the geometry shape of the free boundary for the compressible subsonic rotational jet flow. It is proved that if the nozzle is concave to the fluid, then the free boundary for the jet flow is strictly convex to the fluid. Furthermore, the positivity of the horizontal velocity in the fluid region is also obtained.
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