Existence of Solutions for Three Dimensional Stationary Incompressible Euler Equations with Nonvanishing Vorticity |
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| Authors: | Chunlei TANG and Zhouping XIN |
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| Affiliation: | 1. Department of Mathematics, Southwest University, Chongqing 400715, China
2. The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, China |
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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. |
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| Keywords: | Three dimensional stationary incompressible Euler equations Boundary value condition Nonvanishing vorticity |
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