Existence of Solutions for Three Dimensional Stationary Incompressible Euler Equations with Nonvanishing Vorticity

被引：0
作者：
Chunlei TANG Zhouping XIN Department of Mathematics
The Institute of Mathematical Sciences
机构：
来源：
Chinese Annals of Mathematics,Series B | 2009年 / 06期
基金：
中国国家自然科学基金;
关键词：
Three dimensional stationary incompressible Euler equations; Boundary value condition; Nonvanishing vorticity;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,solutions with nonvanishing vorticity are established for the three dimensional stationary incompressible Euler equations on simply connected bounded three dimensional domains with smooth boundary.A class of additional boundary conditions for the vorticities are identified so that the solution is unique and stable.
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页码：803 / 830
页数：28
相关论文
共 16 条
[11]  
Translation in Soviet Phys.Dokl . 1988
[12]  
Elliptic solutions of the stationary Euler equations .2 Kaptsov,O.V. Dokl.Akad.Nauk SSSR . 1988
[13]  
Steady symmetric vortex pairs and rearrangements[J] . G. R. Burton.Proceedings of the Royal Society of Edinburgh: Se . 1988 (3-4)
[14]  
The topology of stationary curl parallel solutions of Euler’s equations[J] . Carmen Chicone.Israel Journal of Mathematics . 1981 (1)
[15]  
On the existence of global vortex rings[J] . Wei-Ming Ni.Journal d’Analyse Mathématique . 1980 (1)
[16]  
A global theory of steady vortex rings in an ideal fluid[J] . L. E. Fraenkel,M. S. Berger.Acta Mathematica . 1974 (1)
12