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.
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Dedicated to Professor Andrew Majda on the Occasion of his 60th Birthday
Project supported by 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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Tang, C., Xin, Z. Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity. Chin. Ann. Math. Ser. B 30, 803–830 (2009). https://doi.org/10.1007/s11401-009-0092-7
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DOI: https://doi.org/10.1007/s11401-009-0092-7
Keywords
- Three dimensional stationary incompressible Euler equations
- Boundary value condition
- Nonvanishing vorticity