Skip to main content
Log in

Operator constraint principle for simplifying atmospheric dynamical equations

  • Notes
  • Published:
Chinese Science Bulletin

Abstract

Based on the qualitative theory of atmospheric dynamical equations, a new method for simplifying equations, the operator constraint principle, is presented. The general rule of the method and its mathematical strictness are discussed. Moreover, the way that how to use the method to simplify equations rationally and how to get the simplified equations with harmonious and consistent dynamics is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zeng Qingcun, Mathematical and Physical Foundations of Numerical Weather Prediction (in Chinese), Vol. I, Beijing: Science Press, 1979.

    Google Scholar 

  2. Zeng Qingcun, A mathematic model of climate dynamics suitable for modern mathematical analysis, Chinese Journal of Atmospheric Sciences, 1998, 22(4): 340.

    Google Scholar 

  3. Liu Shida, Liu Shikou, Atmospheric Dynamics (in Chinese), Vol. I, Beijing: Beijing University Press, 1991, 1–33, 167–184.

  4. Liao Dongxian, Wang Liangming, Principle of Numerical Prediction and Its Application (in Chinese), Beijing: China Meteorological Press, 1986, 1–28.

    Google Scholar 

  5. Yang Dasheng, Liu Yubin, Liu Shikou, Dynamical Meteorology (in Chinese), Beijing: China Meteorological Press, 1983, 82–99.

    Google Scholar 

  6. Белилцклл, B. A., Dynamical Meteorology, Vol. III, Beijing: Advanced Education Press, 1959, 671–676.

    Google Scholar 

  7. Holton, J. R., An Introduction to Dynamic Meteorology, New York: Academic Press, 1972, 1–40.

    Google Scholar 

  8. Lorenz, E. N., Energy and numerical weather prediction, Tellus, 1960, 12: 364.

    Article  Google Scholar 

  9. Chou Jifan, Some properties of operators and the decay of effect of initial condition, Acta Meteor. Sinica (in Chinese), 1983, 41(4): 385.

    Google Scholar 

  10. Chou Jifan, Long-Term Numerical Weather Prediction (in Chinese), Beijing: China Meteorological Press, 1986.

    Google Scholar 

  11. Wang Shouhong, Huang Jianping, Chou Jifan, Some properties of solutions for the equations of large scale atmosphere: Nonlinear adjustment to the time independent external forcing, Science in China, Ser. B, 1989, 38: 328.

    Google Scholar 

  12. Chou Jifan, New Advances in Atmospheric Dynamics (in Chinese), Lanzhou: Lanzhou University Press, 1990, 37–47.

    Google Scholar 

  13. Lions, J. L., Temam, R., Wang, S., Geostrophic asymptotics of the primitive equations of the atmosphere, Topological Methods in Nonlinear Analysis (special issue dedicated to Jean Leray), 1994, 4: 253.

    Google Scholar 

  14. Lions, J. L., Manley, O., Temam, R. et al., Physical interpretations of the attractor for a simple model of atmospheric circulation, Journal of Atmosphere Sciences, 1997, 54(9): 1137.

    Article  Google Scholar 

  15. Chou Jifan, Some advances and trends in the atmospheric dynamics, The Forward Position and Prospects for Modern Atmospheric Science (in Chinese), Beijing: China Meteorological Press, 1995, 71–75.

    Google Scholar 

  16. Li Jianping, Chou Jifan, Existence of atmosphere attractor, Science in China, Ser. D, 1997, 40(2): 215.

    Article  Google Scholar 

  17. Li Jianping, Chou Jifan, Further study on the properties of operators of atmospheric equations and the existence of attractor, Acta. Meteor. Sin., 1997, 11(2): 216.

    Google Scholar 

  18. Li Jianping, Chou Jifan, The effects of external forcing, dissipation and nonlinearity on the solutions of atmospheric equations, Acta Meteor Sin., 1997, 11(1): 57.

    Google Scholar 

  19. Temam, R., Wang, S., Mathematical problems in meteorology and oceanography, Bull. Amer. Meteorol. Soc., 2000, 81(2): 319.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Li, J., Chou, J. Operator constraint principle for simplifying atmospheric dynamical equations. Chin.Sci.Bull. 46, 1053–1056 (2001). https://doi.org/10.1007/BF03183558

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03183558

Keywords

Navigation