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Chin. Phys. B, 2009, Vol. 18(9): 03624    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

Mo Jia-Qia, Lin Wan-Taob, Lin Yi-Huab
a Department of Mathematics, Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; b LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
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.
Keywords:  undercurrents      perturbation      asymptotic solution  
Received:  10 January 2009      Revised:  16 January 2009      Published:  20 September 2009
PACS:  92.10.ah (Ocean currents; Eastern boundary currents, Western boundary currents)  
  92.10.ad (Deep water formation and circulation)  
  93.30.Pm (Pacific Ocean)  
Fund: 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).

Cite this article: 

Mo Jia-Qi, Lin Wan-Tao, Lin Yi-Hua Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific 2009 Chin. Phys. B 18 03624

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