| On two-dimensional large-scale primitive equations in oceanic dynamics （Ⅱ） |
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| 引用本文： | 黄代文,郭柏灵. On two-dimensional large-scale primitive equations in oceanic dynamics （Ⅱ）[J]. 应用数学和力学(英文版), 2007, 28(5): 593-600. DOI: 10.1007/s 10483-007-0504-x |
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| 作者姓名： | 黄代文 郭柏灵 |
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| 作者单位： | Institute of Applied Physics and Computational Mathematics，Institute of Applied Physics and Computational Mathematics Beijing 100088，P. R. China Graduate School，China Academy of Engineering Physics，Beijing 100088，P. R. China，Beijing 100088，P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.90511009) |
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| 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.
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| 关 键 词： | 二维大规模原始方程 海洋动力学 数学模型 全局强解 |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2007-03-06 |
On two-dimensional large-scale primitive equations in oceanic dynamics (II) |
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| Huang Dai-wen,Guo Bo-ling. On two-dimensional large-scale primitive equations in oceanic dynamics (II)[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(5): 593-600. DOI: 10.1007/s 10483-007-0504-x |
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| Authors: | Huang Dai-wen Guo Bo-ling |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;Graduate School, China Academy of Engineering Physics, Beijing 100088, P. R. China |
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| Abstract: | 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. |
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| Keywords: | primitive equations of the ocean global strong solution regularity exponential decay |
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