ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

来源 :数学物理学报(英文版) | 被引量 : 0次 | 上传用户:helen_shen
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In this paper,a compensated compactness framework is established for sonicsubsonic 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 Hlloc-1 (Ω) 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).
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