Review of the study of nonlinear atmospheric dynamics in China (1999-002)

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• 作者：Diao Yina (1) (2)
  Feng Guolin (2)
  Liu Shida (3)
  Liu Shikuo (3)
  Luo Dehai (1)
  Huang Sixun (4)
  Lu Weisong (5)
  Chou Jifan (6)
  
• 关键词：nonlinear dynamics ; stability ; blocking ; spiral structure ; traveling wave ; global analysis
• 刊名：Advances in Atmospheric Sciences
• 出版年：2004
• 出版时间：June 2004
• 年：2004
• 卷：21
• 期：3
• 页码：399-406
• 全文大小：141KB
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  17. Huang Sixun, and Han Wei, 2001: Theoretical and numerical analysis of variational data assimilation of sea temperature distribution. / Proc. 15th Conference on Hydrodynamics, China, China Oceanographic Press, Beijing, 112-18.
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  21. Huang Sixun, Han Wei, and Xiang Jie, 2003b: Nonlinear analysis of equatorial eastern pacific air-sea coupling oscillation and a limit-cycle theory for ENSO cycle. / Appl. Math. Mech. in China,25(5), 472-86.
  22. Li Jun, and Huang Sixun, 2001: Application of improved discrepancy principle in inversion of atmosphere infrared remote sensing. / Science in China (D),44, 847-57.
  23. Li Jianping, and Chou Jifan, 1999a: Inertial manifold of the atmospheric equations. / Science in China (D),42(4), 369-77.
  24. Li Jianping, and Chou Jifan, 1999b: Asymptotic behavior of the solutions of atmospheric equations with the topographic effect. / Prog. Nat Sci.,9(10), 781-91.
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  26. Li Jiping, Zeng Qingcun, and Chou Jifan, 2001: Computational uncertainty principle in nonlinear ordinary differential equations. II: Theoretical analysis. / Science in China (E),44, 55-4.
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  30. Li Yang, Mu Mu, and Wu Yonghui, 2000: A study on the nonlinear stability of fronts in the ocean on a sloping continental shelf. / Adv. Atmos. Sci.,17, 275-84. CrossRef
  31. Liu Y. M., and Mu, M., 2001: Nonlinear stability of the Generalized Eady Model. / J. Atmos. Sci.,58, 821-27. CrossRef
  32. Liu Shida, Xin Guojun, Liu Shikuo, and Liang Fuming, 2000a: The 3-D spiral structure pattern in the atmosphere. / Adv. Atmos. Sci.,17(4), 519-24. CrossRef
  33. Liu Shida, Xin Guojun, Liu Shikuo, and Liang Fuming, 2000b: The 3-D spiral structure theory of the atmospheric mesoscale vortex. / Acta Meteorologica Sinica,58(2), 151-58. (in Chinese)
  34. Liu S. D., Rong, P. P., and Chen J., 2000c: The hierarchical structure of climate series. / Acta Meteorologica Sinica,58(1), 110-14. (in Chinese)
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  41. Liu S. K., Fu Z. T., Liu S. D., and Zhao Q., 2002d: The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function. / Acta Physica Sinica,51, 718-22. (in Chinese)
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  44. Lu Weisong, 2001: A new criterion of nonlinear barotropic stability including Ekman friction. / Acta Meteorologica Sinica,59, 641-51. (in Chinese)
  45. Lu Weisong, 2003: Nonlinear subcritical symmetric instability. / Adv. Atmos. Sci.,20, in press.
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  47. Luo D. H., 1999b: Near-resonantly topographically forced envelope Rossby solitons in a barotropic flow. / Geophys. Astrophys. Fluid Dyn.,90, 161-88. CrossRef
  48. Luo D. H., 2000a: / Nonlinear Dynamics of Blocking. China Meteorological Press, Beijing, 248pp. (in Chinese)
  49. Luo D. H., 2000b: Planetary-scale baroclinic envelope Rossby solitons in a two-layer model and their interaction with synoptic-scale eddies. / Dyn. Atmos. Oceans,32, 27-4. CrossRef
  50. Luo D.H., 2001: The derivation of a higher order nonlinear Sch?dinger equation for weakly nonlinear Rossby waves. / Wave Motion,33, 339-47. CrossRef
  51. Luo D. H., and Li J. P., 2000: Barotropic interaction between planetary- and synoptic-scale waves during the life cycles of blockings. / Adv. Atmos. Sci.,17, 649-70. CrossRef
  52. Luo D.H., and Li J. P., 2001: Interaction between a slowly moving planetary-scale dipole envelope Rossby soliton and a wavenumber-two topography in a forced higher order nonlinear Schr?dinger equation. / Adv. Atmos. Sci.,18(2), 239-56. CrossRef
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• 作者单位：Diao Yina (1) (2)
  Feng Guolin (2)
  Liu Shida (3)
  Liu Shikuo (3)
  Luo Dehai (1)
  Huang Sixun (4)
  Lu Weisong (5)
  Chou Jifan (6)
  
  1. Department of Atmospheric and Oceanic Sciences, Ocean University of China, 266003, Qingdao
  2. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029, Beijing
  3. Department of Atmospheric Sciences, Peking University, 100871, Beijing
  4. Meteorological Institute, P. L. A. University of Science & Engineering, 211101, Nanjing
  5. Nanjing Institute of Meteorology, 210044, Nanjing
  6. Beijing Training Center, China Meteorological Administration, 100081, Beijing
  
• ISSN：1861-9533

文摘

Researches on nonlinear atmospheric dynamics in China (1999-002) are briefly surveyed. This review includes the major achievements in the following branches of nonlinear dynamics: nonlinear stability theory, nonlinear blocking dynamics, 3D spiral structure in the atmosphere, traveling wave solution of the nonlinear evolution equation, numerical predictability in a chaotic system, and global analysis of climate dynamics. Some applications of nonlinear methods such as hierarchy structure of climate and scaling invariance, the spatial-temporal series predictive method, the nonlinear inverse problem, and a new difference scheme with multi-time levels are also introduced.