Abstract
In this paper, we consider the semi-hyperbolic patch characterized by 2D steady relativistic Euler equations. Employing the angle variables, the 2D steady relativistic Euler equations are transformed into a first-order hyperbolic equations. Given a smooth streamline and the boundary data, we find a C1,16-continuous sonic curve. Inside the semi-hyperbolic patch with the boundaries of the streamline associated with a characteristic curve, utilizing the partial hodograph method, a C1,16-continuous sonic-supersonic solution for 2D steady relativistic Euler equations is obtained. We will finally consider the corresponding regularity in the physical plane.
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