ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

doi:10.1016/S0252-9602(17)30035-8

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (3): 752-767.doi: 10.1016/S0252-9602(17)30035-8

ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

顾旭旻¹, 王天怡^2,3

1. Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China;
2. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China;
3. Gran Sasso Science Institute, viale Francesco Crispi, 7, 67100 L'Aquila, Italy

收稿日期:2016-03-23 修回日期:2016-10-24 出版日期:2017-06-25 发布日期:2017-06-25
通讯作者: Tian-Yi WANG E-mail:tianyiwang@whut.edu.cn,tian-yi.wang@gssi.infn.it,wangtianyi@amss.ac.cn
作者简介:Xumin GU,E-mail:xumingu11@fudan.edu.cn
基金资助:
The research of first author was supported in part by NSFC (11601305).The research of second author was supported in part by NSFC (11601401),and the Fundamental Research Funds for the Central Universities (WUT:2017IVA072 and 2017IVB066).

ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

Xumin GU¹, Tian-Yi WANG^2,3

1. Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China;
2. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China;
3. Gran Sasso Science Institute, viale Francesco Crispi, 7, 67100 L'Aquila, Italy

Received:2016-03-23 Revised:2016-10-24 Online:2017-06-25 Published:2017-06-25
Supported by:
The research of first author was supported in part by NSFC (11601305).The research of second author was supported in part by NSFC (11601401),and the Fundamental Research Funds for the Central Universities (WUT:2017IVA072 and 2017IVB066).

摘要/Abstract

摘要： In this article, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the infinity long nozzle. For the subsonic case, the varified Bernoulli law leads a modified cut-off system. Because of the local average estimate, conservative forces do not need any decay condition. Afterwards, the subsonic-sonic limit solutions are constructed by taking the extract subsonic solutions as the approximate sequences.

关键词: Steady flow, homentropic, irrotation, subsonic flow, subsonic-sonic limit

Abstract: In this article, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the infinity long nozzle. For the subsonic case, the varified Bernoulli law leads a modified cut-off system. Because of the local average estimate, conservative forces do not need any decay condition. Afterwards, the subsonic-sonic limit solutions are constructed by taking the extract subsonic solutions as the approximate sequences.

Key words: Steady flow, homentropic, irrotation, subsonic flow, subsonic-sonic limit

顾旭旻, 王天怡. ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE[J]. 数学物理学报(英文版), 2017, 37(3): 752-767.

Xumin GU, Tian-Yi WANG. ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE[J]. Acta mathematica scientia,Series B, 2017, 37(3): 752-767.

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ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

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