On multi-dimensional sonic-subsonic flow
Feimin Huang, Tianyi Wang and Yong Wang
Abstract: In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional (n≥2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H−1loc compactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional (n≥2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension (n≥3).