| THE TENSOR DENOTATION OF BELTRAMI SPHERICAL VORTICES AND THEIR SYMMETRY ANALYSIS |
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| 作者姓名： | 黄永年 胡欣 |
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| 作者单位： | HUANG Yong_nian，HU Xin (Department of Mechanics and Engineering Science，State Key Laboratory for Turbulence Research，Peking University，Beijing 100871，P R China) (Contributed by HUANG Yong_nian) |
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| 基金项目： | TheSpecialFundsforMajorStateBasicResearchProject“SomeFrontier
ProblemsofNonlinearScience” (G2 0 0 0 773 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＢｅｌｔｒａｍｉｆｌｏｗｉｓａｓｐｅｃｉａｌｋｉｎｄｏｆｆｌｏｗ .Ｉｔｓｖｏｒｔｉｃｉｔｙｄｉｒｅｃｔｉｏｎｉｓｐａｒａｌｌｅｌｔｏｉｔｓｖｅｌｏｃｉｔｙｄｉｒｅｃｔｉｏｎｅｖｅｒｙｗｈｅｒｅ .Ｍｏｒｅｏｖｅｒ,ｉｔｓｖｅｌｏｃｉｔｙａｎｄｖｏｒｔｉｃｉｔｙｓａｔｉｓｆｙｔｈｅｌｉｎｅａｒＨｅｌｍｈｏｌｔｚｅｑｕａｔｉｏｎ .Ｉｎｆａｃｔ,ｉｔｉｓａｋｉｎｄｏｆｒｅｌａｔｉｖｅｌｙｓｉｍｐｌｅｆｌｏｗ .Ｂｕｔｔｈｅｒｅａｒｅｍａｎｙｃｏｍｐｌｅｘｐｈｅｎｏｍｅｎａｈｉｄｄｅｎ…
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| 收稿时间： | 18 July 2000 |
The tensor denotation of Beltrami spherical vortices and their symmetry analysis |
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| Huang Yong-nian Professor,Hu Xin.THE TENSOR DENOTATION OF BELTRAMI SPHERICAL VORTICES AND THEIR SYMMETRY ANALYSIS[J].Applied Mathematics and Mechanics(English Edition),2002,23(1):13-17. |
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| Authors: | Huang Yong-nian Professor Hu Xin |
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| Institution: | Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P R China |
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| Abstract: | One kind of tensor denotation of nth Beltrami axisymmetric and nonaxisymmetric spherical vortices, their classification and symmetries were discussed. Chaotic phenomena will occur in the dynamic system of the nonaxisymmetric Beltrami spherical vortices. From these aspects, it is shown that the tensor denotation has more meaningful characters and nonaxisymmetric Beltrami shperical vortices are various and very complex. |
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| Keywords: | Beltrami flow tensor denotation symmetry chaotic phenomena |
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