Convexity of the free boundary for an axially symmetric rotational cavity flow problem

被引:2
作者
Zhang, Fan [1 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China
基金
中国国家自然科学基金;
关键词
SUBSONIC EULER FLOWS; LARGE VORTICITY; JET FLOWS; FLUIDS; EXISTENCE; CHANNEL; NOZZLE;
D O I
10.1063/5.0094118
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In Friedman's work [Commun. Partial Differ. Equations 8, 949-997 (1983)], the existence and uniqueness of axially symmetric incompressible rotational cavity flow were established. Based on his work, we establish the convexity of the free boundary for the axially symmetric rotational cavity flows. As by-products, we also give the asymptotic behavior in the far-field. Published under an exclusive license by AIP Publishing.
引用
收藏
页数:16
相关论文
共 33 条
[11]  
Brock F., 1993, Z ANAL ANWEND, V12, P97, DOI DOI 10.4171/ZAA/578
[12]   AXIALLY-SYMMETRIC INFINITE CAVITIES [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (01) :135-160
[13]   Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles [J].
Chen, Gui-Qiang G. ;
Huang, Fei-Min ;
Wang, Tian-Yi ;
Xiang, Wei .
ADVANCES IN MATHEMATICS, 2019, 346 :946-1008
[14]   GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS [J].
Chen, Gui-Qiang G. ;
Deng, Xuemei ;
Xiang, Wei .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (04) :2888-2919
[15]   Steady incompressible axially symmetric Rethy flows [J].
Cheng, Jianfeng ;
Du, Lili ;
Xiang, Wei .
NONLINEARITY, 2020, 33 (09) :4627-4669
[16]   The uniqueness of the asymmetric jet flow [J].
Cheng, Jianfeng ;
Du, Lili ;
Wang, Yongfu .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (04) :3794-3815
[17]   Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment [J].
Cheng, Jianfeng ;
Du, Lili ;
Xiang, Wei .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 232 (02) :1031-1072
[18]   INCOMPRESSIBLE RETHY FLOWS IN TWO DIMENSIONS [J].
Cheng, Jianfeng ;
Du, Lili ;
Xiang, Wei .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 49 (05) :3427-3475
[19]   Two-dimensional cavity flow in an infinitely long channel with non-zero vorticity [J].
Cheng, Jianfeng ;
Du, Lili ;
Zhang, Qin .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (07) :4126-4155
[20]   Subsonic Euler Flows with Large Vorticity Through an Infinitely Long Axisymmetric Nozzle [J].
Du, Lili ;
Duan, Ben .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2016, 18 (03) :511-530