ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

doi:10.1016/S0252-9602(11)60389-5

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (6): 2131-2140.doi: 10.1016/S0252-9602(11)60389-5

ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

黄飞敏|王天怡|王勇

Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, China

收稿日期:2011-05-04 出版日期:2011-11-20 发布日期:2011-11-20
基金资助:
The research of FMH was supported in part by NSFC (10825102) for distinguished youth scholar, and National Basic Research Program of China (973 Program) under Grant No. 2011CB808002.

ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

HUANG Fei-Min, WANG Tian-Yi, WANG Yong

Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, China

Received:2011-05-04 Online:2011-11-20 Published:2011-11-20
Supported by:
The research of FMH was supported in part by NSFC (10825102) for distinguished youth scholar, and National Basic Research Program of China (973 Program) under Grant No. 2011CB808002.

摘要/Abstract

摘要：

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⁻¹_loc (Ω) com-pactness 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

Abstract:

Key words: multi-dimension, sonic-subsonic flow, steady irrotational flow, compensated compactness

中图分类号:

35L65

黄飞敏, 王天怡, 王勇. ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW[J]. 数学物理学报(英文版), 2011, 31(6): 2131-2140.

HUANG Fei-Min, WANG Tian-Yi, WANG Yong. ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW[J]. Acta mathematica scientia,Series B, 2011, 31(6): 2131-2140.

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ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

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