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Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific
Authors:Mo Jia-Qi  Lin Wan-Tao and Lin Yi-Hua
Affiliation:Department of Mathematics, Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; 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
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