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)
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
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.
Received: 10 January 2009
Revised: 16 January 2009
Accepted manuscript online:
PACS:
92.10.ah
(Ocean currents; Eastern boundary currents, Western boundary currents)
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(莫嘉琪), Lin Wan-Tao(林万涛), and Lin Yi-Hua(林一骅) Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific 2009 Chin. Phys. B 18 3624
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