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

作　　者：黄代文 郭柏灵 

机构地区：[1]Institute of Applied Physics and Computational Mathematics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第5期581-592,共12页应用数学和力学（英文版）

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

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.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.

关 键 词：primitive equations of the ocean global weakly strong solution existence uniqueness 

分 类 号：O175.8[理学—数学]