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

作     者：黄代文 郭柏灵 

作者机构：Institute of Applied Physics and Computational Mathematics 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2007年第28卷第5期

页      面：581-592页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China (No.90511009) 

主　　题：primitive equations of the ocean global weakly strong solution existence uniqueness 

摘      要：The initial boundary value problem for the two-dimensional primitive equations of large scale oceanic motion in geophysics is considered. It is assumed that the depth of the ocean is a positive constant. Firstly, if the initial data are square integrable, then by Fadeo-Galerkin method, the existence of the global weak solutions for the problem is obtained. Secondly, if the initial data and their vertical derivatives are all square integrable, then by Faedo-Galerkin method and anisotropic inequalities, the existerce and uniqueness of the global weakly strong solution for the above initial boundary problem are obtained.