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
[1]  
ALT HW, 1982, J REINE ANGEW MATH, V331, P58
[2]  
ALT HW, 1981, J REINE ANGEW MATH, V325, P105
[3]   VARIATIONAL-PROBLEMS WITH 2 PHASES AND THEIR FREE BOUNDARIES [J].
ALT, HW ;
CAFFARELLI, LA ;
FRIEDMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :431-461
[4]   ASYMMETRIC JET FLOWS [J].
ALT, HW ;
CAFFARELLI, LA ;
FRIEDMAN, A .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (01) :29-68
[5]   JETS WITH 2 FLUIDS .1. ONE FREE-BOUNDARY [J].
ALT, HW ;
CAFFARELLI, LA ;
FRIEDMAN, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (02) :213-247
[6]   JETS WITH 2 FLUIDS .2. 2 FREE BOUNDARIES [J].
ALT, HW ;
CAFFARELLI, LA ;
FRIEDMAN, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (03) :367-391
[7]  
ALT HW, 1983, ARCH RATION MECH AN, V81, P97, DOI 10.1007/BF00250648
[8]  
[Anonymous], 1962, Theoretical hydrodynamics
[9]  
Birkhoff G., 1957, Jets, Wakes and Cavities
[10]  
Brock F., 1993, Z ANAL ANWEND, V12, P297, DOI DOI 10.4171/ZAA/565