摘要

This paper investigates the regularity of a semi-hyperbolic patch problem arising from the Riemann problem for the 2-D isentropic Euler equations. We show that the solution is uniformly C-1,C-1/6 up to the sonic curve and the sonic curve is C-1,C-1/6 which improve the C-1-regularity of Song et al. [20]. We introduce a novel set of change variables which allow us to establish higher regularity results based on the ideas of characteristic decomposition and the bootstrap method.