Abstract
From the pansystems view of prediction, the paper investigates the blow-up and post blow-up of fluid in rotation and convergence. The results show that the motion includes certain characteristics of reverse transformation the counter clockwise rotation 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 speaking, the forecasting of evolution for fluid can't be considered only as traditional Cauchy problem. The traditional forecasi models should be rediscussed questioningly.
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Wu Xue-mou. Pansystems cybernetics, pansystems medicine. pansystems qigong theory.Pansysrems Journal. 3–4 (1993). (in Chinese)
Wu Xue-mou.Pansystems Philosophy and Applications: Entropy and Order. Information and Systems. a Debate on Entropy. Sichuan Press of Science and Technology (1993). (in Chinese)
Ouyang Shou-chengApplied Methods of Math., Meteo. Press. (1984), 441–443. (in Chinese)
Zhu Qian-gen et al.,Principle and Methods of Synoptic Meteorology. Meteo. Press (1981). 87–88. (in Chinese).
Dauglas, A., Some existence theorems for hyperbolic systems of partial differential quations in two independent variables.Comm. Pure Appl. Math., 2 (1952). 119–154.
Wang Rou-huai, et al., The existence and uniqueness of posed problems for quasi-linear hyperbolic equations of two indepent variables.Journal of Jilin University, 2 (1963) (in Chinese)
Wu Ling-shou.The Exploration for “Book of Changes”. Meteo. Press, 125 (1989). 194–198. (in Chinese)
Weng Wen-bo.Fundamentals of Forecasting Theory. Petroleum Industrial Press, (1984). 28–29. (in Chinese).
Ouyang Shou-cheng et al., Numerical experiment of stability of quasi-linear equations,Computer's App.,4 1 (1992), 1–9. (in Chinese)
Ouyang Shou-cheng et al.,Numerical Weather Prediction and Its Application. Meteo. Press. (1993). 35–39, 223–249. (in Chinese).
Ouyang Shou-cheng et. al.,“The Break Off” of Moving Fluid and Some Problems of Weather Forecasting. Press of Chengdu Scientific and Technological University (1994). (in Chinese)
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Shou-cheng, O. The pansystems view of prediction and blow-up of fluid. Appl Math Mech 16, 269–277 (1995). https://doi.org/10.1007/BF02450527
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DOI: https://doi.org/10.1007/BF02450527