中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3624-3627.doi: 10.1088/1674-1056/18/9/003

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Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific

莫嘉琪1, 林万涛2, 林一骅2   

  1. (1)Department of Mathematics, Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; (2)LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2009-01-10 修回日期:2009-01-16 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010), the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08), LASG State Key Laboratory Special fund and E-Institutes of Shanghai Municipal Education Commission of China (Grant No E03004).

Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific

Mo Jia-Qi(莫嘉琪)a)b)†, Lin Wan-Tao(林万涛)c), and Lin Yi-Hua(林一骅)c)   

  1. a Department of Mathematics, Anhui Normal University, Wuhu 241000, Chinab Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; c LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2009-01-10 Revised:2009-01-16 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010), the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08), LASG State Key Laboratory Special fund and E-Institutes of Shanghai Municipal Education Commission of China (Grant No E03004).

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摘要： This paper consider a class of perturbed mechanism for the western boundary undercurrents in the Pacific. The model of generalized governing equations is studied. Using the perturbation method, it constructs the asymptotic solution of the model. And the accuracy of asymptotic solution is proved by the theory of differential inequalities. Thus the uniformly valid asymptotic expansions of the solution are obtained.

Abstract: This paper consider a class of perturbed mechanism for the western boundary undercurrents in the Pacific. The model of generalized governing equations is studied. Using the perturbation method, it constructs the asymptotic solution of the model. And the accuracy of asymptotic solution is proved by the theory of differential inequalities. Thus the uniformly valid asymptotic expansions of the solution are obtained.

Key words: undercurrents, perturbation, asymptotic solution

中图分类号:  (Ocean currents; Eastern boundary currents, Western boundary currents)

  • 92.10.ah
92.10.ad (Deep water formation and circulation) 93.30.Pm (Pacific Ocean)