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

作     者：顾旭旻 王天怡 

作者机构：Department of Mathematics Shanghai University of Finance and Economics Shanghai 200433 China Department of Mathematics School of Science Wuhan University of Technology Wuhan 430070 China Gran Sasso Science Institute viale Francesco Crispi 7 67100 L 'Aquila Italy 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2017年第37卷第3期

页      面：752-767页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by NSFC(11601305) supported in part by NSFC(11601401) the Fundamental Research Funds for the Central Universities(WUT:2017IVA072 and 2017IVB066) 

主　　题：Steady flow homentropic irrotation subsonic flow subsonic-sonic limit 

摘      要：In this article, we study irrotational subsonic and subsonic-sonic flows with gen- eral 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.