On a regularity result for the transonic pressure-gradient system in gas dynamics

摘要

This paper is concerned with the regularity of transonic flows originated from the two-dimensional Riemann problem to the pressure-gradient system in gas dynamics. It is verified that, if the transonic solution of the pressure-gradient system is C-3 in a neighborhood of a sonic point and is C-infinity in the subsonic-sonic region, then the solution is also C-infinity in the sonic-supersonic region near the sonic point. (C) 2019 Elsevier Inc. All rights reserved.