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| Existence of Solutions for Three Dimensional Stationary Incompressible Euler Equations with Nonvanishing Vorticity |
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Citation： |
Chunlei TANG,Zhouping XIN.Existence of Solutions for Three Dimensional Stationary Incompressible Euler Equations with Nonvanishing Vorticity[J].Chinese Annals of Mathematics B,2009,30(6):803~830 |
| Page view： 1614
Net amount： 1220 |
Authors： |
Chunlei TANG; Zhouping XIN; |
Foundation： |
the National Natural Science Foundation of China (No. 10771173), the Zheng
Ge Ru Foundation, the Hong Kong RGC Earmarked Research (Nos. CUHK4028/04P, CUHK4040/06P,
CUHK4042/08P) and the RGC Central Allocation (No. CA05/06.SC01). |
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| Abstract： |
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. |
Keywords： |
Three dimensional stationary incompressible Euler equations, Boundary
value condition, Nonvanishing vorticity |
Classification： |
35L70, 35L65, 35L67, 76N15 |
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