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

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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)

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.

2010 MSC Number: 

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