| FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR |
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| 引用本文： | 李建平,丑纪范. FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR[J]. , 1997, 0(2) |
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| 作者姓名： | 李建平 丑纪范 |
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| 作者单位： | Department of Atmospheric Sciences Lanzhou University，Lanzhou 730000，Department of Atmospheric Sciences，Lanzhou University，Lanzhou 730000 |
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| 基金项目： | The project is supported by the State Key Research Project on Dynamics and Predictive Theory of the Climate. |
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| 摘 要： | The equivalent operator equation is derived from the full primitive nonlinear equations of theatmospheric motion and the properties and physical senses of the operators are studied.In theinfinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system withthe non-stationary external forcing is studied under the assumption of the bounded externalforcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996 a;1996 b)areextended to the general atmosphere.
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FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR |
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| Li Jianping Chou Jifan. FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR[J]. Acta Meteorologica Sinica, 1997, 0(2) |
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| Authors: | Li Jianping Chou Jifan |
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| Affiliation: | Li Jianping Chou Jifan Department of Atmospheric Sciences,Lanzhou University,Lanzhou 730000 |
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| Abstract: | The equivalent operator equation is derived from the full primitive nonlinear equations of the atmospheric motion and the properties and physical senses of the operators are studied.In the infinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system with the non-stationary external forcing is studied under the assumption of the bounded external forcing.The existence theorems of the global absorbing set and the global attractor are obtained. Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996 a;1996 b)are extended to the general atmosphere. |
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| Keywords: | operator equation global attractor non-stationary forcing |
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