Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 13-17.

• 论文 • 上一篇    下一篇

THE TENSOR DENOTATION OF BELTRAMI SPHERICAL VORTICES AND THEIR SYMMETRY ANALYSIS

黄永年, 胡欣   

  1. Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P. R. China
  • 收稿日期:2000-07-18 修回日期:2001-08-10 出版日期:2002-01-18 发布日期:2002-01-18
  • 基金资助:

    The Special Funds for Major State Basic Research Project "Some Frontier Problems of Nonlinear Science"(G2000773)

THE TENSOR DENOTATION OF BELTRAMI SPHERICAL VORTICES AND THEIR SYMMETRY ANALYSIS

HUANG Yong-nian, HU Xin   

  1. Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P. R. China
  • Received:2000-07-18 Revised:2001-08-10 Online:2002-01-18 Published:2002-01-18
  • Supported by:

    The Special Funds for Major State Basic Research Project "Some Frontier Problems of Nonlinear Science"(G2000773)

摘要: 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.

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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