Acta mathematica scientia,Series B ›› 1990, Vol. 10 ›› Issue (1): 1-19.

• Articles •     Next Articles

BIFURCATION PROBLEMS OF MULTIPARAMETER AND MULTIBRANCH AND THEIR APPLICATIONS

Zhang Chengdian, Li Kaitai   

  1. Inst. for Comput. & Appl. Math., Xi'an Jiaotong Univ., Xi'an, China
  • Received:1985-07-20 Online:1990-03-25 Published:1990-03-25
  • Supported by:
    This work is supported by the Science Fund of the Chinese Academy of Sciences.

Abstract: This paper deals with the bifurcation problems of multiparameter and multibranch and their approximations. It derives general approximation results of solution branches in the neighbourhood of a singular (limit, turning or multibranch) point, and shows that turning and multibranch points are bifurcation points. The abstract theories are applied to a mixed finite element approximation of stationary Navier-Stokes equation.

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