| 三类大气基本波动的广义变分原理 |
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| 引用本文： | 宋君强,曹小群,朱小谦,张卫民,赵军.三类大气基本波动的广义变分原理[J].物理学报,2012,61(7):70401-070401. |
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| 作者姓名： | 宋君强 曹小群 朱小谦 张卫民 赵军 |
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| 作者单位： | 国防科学技术大学计算机学院, 长沙 410073 |
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| 基金项目： | 国家自然科学基金(批准号: 41105063, 61070041) 资助的课题. |
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| 摘 要： | 半反推法是He为了寻求数学物理问题的变分原理而提出的, 可避免由拉氏乘子法引起的临界变分现象. 应用半反推法分别获得了动力气象中Rossby波、大气声波和重力外波等三类基本大气波动的广义变分原理, 并验证了它们的正确性.
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| 关 键 词： | 半反推法 广义变分原理 Rossby波 大气声波 |
| 收稿时间： | 2011-07-13 |
Generalized variational principles for three kinds of atmospheric waves |
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| Song Jun-Qiang,Cao Xiao-Qun,Zhu Xiao-Qian,Zhang Wei-Min,Zhao Jun.Generalized variational principles for three kinds of atmospheric waves[J].Acta Physica Sinica,2012,61(7):70401-070401. |
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| Authors: | Song Jun-Qiang Cao Xiao-Qun Zhu Xiao-Qian Zhang Wei-Min Zhao Jun |
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| Institution: | School of Computer Science, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | The semi-inverse method is proposed by He to establish generalized variational principles for mathematical and physical problems, in which the variational crisis brought by the Lagrange multiplier method can be eliminated. with He's semi-inverse method, a family of variational principles is constructed for Rossby wave, atmospheric acoustic wave and gravity wave respectively. The obtained variational principles have also proved correct. |
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| Keywords: | He's semi-inverse method generalized variational principle Rossby wave atmospheric acoustic wave |
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