On the Existence and Stability of a Global Subsonic Flow in a 3D Infinitely Long Cylindrical Nozzle

作     者：Gang XU Huicheng YIN 

作者机构：Faculty of Science Jiangsu University Zhenjiang 212013 Jiangsu China Department of Mathematics ＆ IMS Nanjing University Nanjing 210093 China. Department of Mathematics ＆ IMS Nanjing University Nanjing 210093 China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第2期

页      面：163-190页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Basic Research Program of China (No.2006CB805902) the National Natural Science Foundation of China (No.10871096) the Research Foundation for Advanced Talents of Jiangsu University 

主　　题：Subsonic flow Potential flow equation Bessel function Weighted HSlder space Global existence 

摘      要：This paper is concerned with the problem on the global existence and stability of a subsonic flow in an infinitely long cylindrical nozzle for the 3D steady potential flow equation. Such a problem was indicated by Courant-Friedrichs in [8, p. 377]： A flow through a duct should be considered as a cal symmetry and should be determined steady, isentropic, irrotational flow with cylindriby solving the 3D potential flow equations with appropriate boundary conditions. By introducing some suitably weighted HSlder spaces and establishing a priori estimates, the authors prove the global existence and stability of a subsonic potential flow in a 3D nozzle when the state of subsonic flow at negative infinity is given.