数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (1): 1-19.

• 论文 •    下一篇

BIFURCATION PROBLEMS OF MULTIPARAMETER AND MULTIBRANCH AND THEIR APPLICATIONS

张承钿, 李开泰   

  1. Inst. for Comput. & Appl. Math., Xi'an Jiaotong Univ., Xi'an, China
  • 收稿日期:1985-07-20 出版日期:1990-03-25 发布日期:1990-03-25
  • 基金资助:
    This work is supported by the Science Fund of the Chinese Academy of Sciences.

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.

摘要: 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.

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.