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

被引：5
|
作者：
Huang D.-W. [1 ,2 ]
Guo B.-L. [1 ]
机构：
[1] Institute of Applied Physics and Computational Mathematics
[2] Graduate School, China Academy of Engineering Physics
来源：
Applied Mathematics and Mechanics | 2007年 / 28卷 / 5期
基金：
中国国家自然科学基金;
关键词：
Exponential decay; Global strong solution; Primitive equations of the ocean; Regularity;
D O I：
10.1007/s10483-007-0504-x
中图分类号：
学科分类号：
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. © 2007 Editorial Committee of Appl. Math. Mech.
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页码：593 / 600
页数：7
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