[1]张 琴.半无穷长对称管道中的二维带重力的喷流(英文)[J].南京师大学报(自然科学版),2021,44(03):1-8.[doi:10.3969/j.issn.1001-4616.2021.03.001]
 Zhang Qin.Two-Dimensional Jet Flow with Gravity ina Semi-Infinitely Long Symmetric Nozzle[J].Journal of Nanjing Normal University(Natural Science Edition),2021,44(03):1-8.[doi:10.3969/j.issn.1001-4616.2021.03.001]
点击复制

半无穷长对称管道中的二维带重力的喷流(英文)()
分享到:

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第44卷
期数:
2021年03期
页码:
1-8
栏目:
·数学·
出版日期:
2021-09-15

文章信息/Info

Title:
Two-Dimensional Jet Flow with Gravity ina Semi-Infinitely Long Symmetric Nozzle
文章编号:
1001-4616(2021)03-0001-08
作者:
张 琴
重庆交通大学数学与统计学院,重庆 400074
Author(s):
Zhang Qin
Department of Mathematics and Statistic,Chongqing Jiaotong University,Chongqing 400074,China
关键词:
存在性和唯一性自由流线无粘不可压缩
Keywords:
existence and uniquenessfree streamlineinviscidincompressible
分类号:
76B03,76B10,35J25,35R35
DOI:
10.3969/j.issn.1001-4616.2021.03.001
文献标志码:
A
摘要:
本文的主要内容是研究半无穷长对称管道中不可压缩、无粘带重力的喷流的适定性. 主要结论是如果在管道入口给定流体的一个质量通量,我们能够建立半无穷长管道中不可压缩带重力喷流问题的存在性和唯一性,该喷流问题还有连接下管道壁边界点的光滑自由边界.
Abstract:
The main object of this paper is to investigate the well-posedness theory of the incompressible inviscid jet flow with gravity in an semi-infinitely long symmetric nozzle. The main results read that given a mass flux in the inlet of the nozzle,we established the existence and the uniqueness of the incompressible jet flow problem with gravity in an semi-infinitely long symmetric nozzle,which contain a smooth free surface detaching at the boundary point of the lower nozzle wall.

参考文献/References:

[1] GARABEDIAN P R,LEWY H,SCHIFFER M. Axially symmetric cavitational flow[J]. Annals of mathematics,1952,56:560-602.
[2]BIRKHOFF G,ZARANTONELLO E H. Jets,wakes,and cavities[M]. New York:Academic Press,1957.
[3]FRIEDMAN A. Variational principles and free-boundary problems[C]//Pure and Applied Mathematics. New York:Wiley,1982.
[4]GILBARG D,TRUDINGER N S. Elliptic partial differential equations of second order[C]//Classic in Mathematics. Berlin:Springer-Verlag,2001.
[5]ALT H W,CAFFARELLI L A. Existence and regularity for a minimum problem with free boundary[J]. Journal fur die reine und angewandte mathematik,1981,325:105-144.
[6]ALT H W,CAFFARELLI L A,FRIEDMAN A. Axially symmetric jet flows[J]. Archive for rational mechanics and analysis,1983,81:97-150.
[7]ALT H W,CAFFARELLI L A,FRIEDMAN A. Asymmetric jet flows[J]. Communication on pure and applied mathematics,1982,35:29-68.
[8]ALT H W,CAFFARELLI L A,FRIEDMAN A. Jet flow with gravity[J]. Journal fur die reine und angewandte mathematik,1982,331:58-103.
[9]CAFFARELLI L A,FRIEDMAN A. Axially symmetric infinite cavities[J]. Indiana university mathematics journal,1982,30:135-160.

备注/Memo

备注/Memo:
Received data:2020-12-21.
Foundation item:Supported by National Natural Science Foundation of China Grant(12001071,KJQN 201900744).
Corresponding author:Zhang Qin,doctor,research subject:hydrodynamics. E-mail:zqcfl2626@gmail.com
更新日期/Last Update: 2021-09-15