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Preprint 2011-006

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).

Paper:
Available as PDF (421 Kbytes).
Author(s):
Feimin Huang
Tianyi Wang
Yong Wang
Submitted by:
; 2011-03-02.