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.
Received: 10 January 2009
Revised: 16 January 2009
Published: 20 September 2009
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, 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
