| 湿大气方程组解的渐近性质 |
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| 引用本文： | 李建平,丑纪范.湿大气方程组解的渐近性质[J].气象学报,1998,56(2):187-198. |
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| 作者姓名： | 李建平 丑纪范 |
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| 作者单位： | 兰州大学大气科学系 |
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| 基金项目： | 国家基础性研究重大关键项目 |
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| 摘 要： | 研究无穷维Ｈｉｌｂｅｒｔ空间中，湿大气运动系统解的长期行为，在导得了湿大气运动方程是Ｈｉｌｂｅｒｔ空间中一个非常特殊的算子方程之后，利用算子的性质讨论了全局吸收集和全局吸引子的存在性，揭示出系统解的渐近行为表现在吸引子的结构上及系统向非绝热加热的非线性适应过程。最后指出了几个简化方程组与原方程组在解的长期行为上的根本不同，从而给出长期天气或气候研究中简化方程组必须遵循的原则。
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| 关 键 词： | 湿大气方程组，算子方程，全局吸引子，非绝热加热，渐近行为 |
| 收稿时间： | 1996/6/27 0:00:00 |
| 修稿时间： | 1997/1/15 0:00:00 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE MOIST ATMOSPHERIC EQUATIONS |
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| Li Jianping and Chou Jifan.ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE MOIST ATMOSPHERIC EQUATIONS[J].Acta Meteorologica Sinica,1998,56(2):187-198. |
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| Authors: | Li Jianping and Chou Jifan |
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| Institution: | Department of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000;Department of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000 |
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| Abstract: | The asymptotic behavior of solutions of the moist atmospheric equatins is studied in the infinite dimensional Hilbert space. After deduced that the moist atmospheric equations in Hilbert space is a very special operator equation, the existence theorems of the gloal absorbing set and the global attractor are obtained by use of the properties of operators, and the property that the asymptotic behavior of solutions shows itself on the structure of attractor and the nonlinear adjustment to the diabatic heating are revealed. Then the essential differences between some simplified equations and the primitive equations are pointed out, and the reduced principle of atmospheric equations that must be complied with in the studies of long range weather and climate are given. |
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| Keywords: | Moist atmospheric equations Operator equation Global attractor Diabatic heating Asymptotic behavior |
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