ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW  

作　　者：黄飞敏 王天怡 王勇 

机构地区：[1]Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Academia Sinica

出　　处：《Acta Mathematica Scientia》2011年第6期2131-2140,共10页数学物理学报（B辑英文版）

基　　金：supported in part by NSFC (10825102) for distinguished youth scholar;National Basic Research Program of China (973 Program) under Grant No.2011CB808002

摘　　要：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 Hloc^-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）.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 Hloc^-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）.

关 键 词：MULTI-DIMENSION sonic-subsonic flow steady irrotational flow compensated compactness 

分 类 号：O354.1[理学—流体力学] O175.2[理学—力学]