Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (3): 269-277.

• 论文 • 上一篇    下一篇

THE PANSYSTEMS VIEW OF PREDICTION AND BLOW-UP OF FLUID

欧阳首承   

  1. Chengdu Meteorological Institute, Chengdu 610041
  • 收稿日期:1994-01-02 出版日期:1995-03-18 发布日期:1995-03-18

THE PANSYSTEMS VIEW OF PREDICTION AND BLOW-UP OF FLUID

Ouyang Shou-cheng   

  1. Chengdu Meteorological Institute, Chengdu 610041
  • Received:1994-01-02 Online:1995-03-18 Published:1995-03-18

摘要: From the pansystems view of prediction, the paper investigates the blow-up andpost blow-up of fluid in rotation and convergence.The results show that the motion includes certain characteristics of reverse transformation the counter clockwiserotation can be developed into clockwise,and vice versa;the convergence can be changed into divergence through blow-up, and the divergence will die out continuously.The real forecasting must look this mechanism in the face. Generally speakinq, theforecasting of evolution for fluid can’t be considered only as traditional Cauchy pro-blem. The traditional forecast models should be rediscussed questioningly.

关键词: transition position, incompressible boundary layer, parabolized stability equation (PSE), numerical simulation

Abstract: From the pansystems view of prediction, the paper investigates the blow-up andpost blow-up of fluid in rotation and convergence.The results show that the motion includes certain characteristics of reverse transformation the counter clockwiserotation can be developed into clockwise,and vice versa;the convergence can be changed into divergence through blow-up, and the divergence will die out continuously.The real forecasting must look this mechanism in the face. Generally speakinq, theforecasting of evolution for fluid can’t be considered only as traditional Cauchy pro-blem. The traditional forecast models should be rediscussed questioningly.

Key words: transition position, incompressible boundary layer, parabolized stability equation (PSE), numerical simulation

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