Continuous subsonic-sonic flows in a two-dimensional semi-infinitely long nozzle

<p style='text-indent:20px;'>This paper focuses on two-dimensional continuous subsonic-sonic potential flows in a semi-infinitely long nozzle with straight lower wall and an upper which is convergent at the outlet while far fields. It proved that if variation rate of cross section suitably small, there exists unique such sonic curve intersects fixed point velocity flow along normal direction curve. Furthermore, free, where singular sense speed only Hölder acceleration blows up. Additionally, asymptotic behaviors fields shown.</p>