On two-dimensional large-scale primitive equations in oceanic dynamics (Ⅱ)

被引：1

作者：

黄代文

郭柏灵

机构：

[1] Institute of Applied Physics and Computational Mathematics

[2] P. R. China Graduate School

[3] China Academy of Engineering Physics

[4] Institute of Applied Physics and Computational Mathematics Beijing 100088

来源：

Applied Mathematics and Mechanics(English Edition) | 2007年 / 05期

基金：

中国国家自然科学基金;

关键词：

primitive equations of the ocean; global strong solution; regularity; exponential decay;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for the two-dimensional primitive equations of largescale oceanic motion in geophysics is considered sequetially. Here the depth of the ocean is positive but not always a constant. By Faedo-Galerkin method and anisotropic inequalities, the existence and uniqueness of the global weakly strong solution and global strong solution for the problem are obtained. Moreover, by studying the asymptotic behavior of solutions for the above problem, the energy is exponential decay with time is proved.

引用

页码：593 / 600

页数：8

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