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| Boussinesq方程组的广义变分原理 | |
| 引用本文： | 曹小群,宋君强,张卫民,朱小谦,赵军. Boussinesq方程组的广义变分原理[J]. 物理学报, 2011, 60(8): 80401-080401. DOI: 10.7498/aps.60.080401 |
| 作者姓名： | 曹小群 宋君强 张卫民 朱小谦 赵军 |
| 作者单位： | 国防科学技术大学计算机学院,长沙 410073 |
| 基金项目： | 国家自然科学基金(批准号: 61070041,40775064)资助的课题. |
| 摘 要： | 半反推法是何吉欢为了寻求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描述水波运动的两类Boussinesq方程组的一族广义变分原理,并验证了它们的正确性.关键词：半反推法广义变分原理Boussinesq方程组 |
| 关 键 词： | 半反推法 广义变分原理 Boussinesq方程组 |
| 收稿时间： | 2010-10-18 |
Generalized variational principles for Boussinesq equation systems |
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| Cao Xiao-Qun,Song Jun-Qiang,Zhang Wei-Min,Zhu Xiao-Qian and Zhao Jun. Generalized variational principles for Boussinesq equation systems[J]. Acta Physica Sinica, 2011, 60(8): 80401-080401. DOI: 10.7498/aps.60.080401 | |
| Authors: | Cao Xiao-Qun Song Jun-Qiang Zhang Wei-Min Zhu Xiao-Qian Zhao Jun |
| Affiliation: | School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China |
| Abstract: | The semi-inverse method is proposed by He to establish the generalized variational principles for physical problems,which can eliminate variational crisis brought by the Lagrange multiplier method.Via the He' s semi-inverse method,a family of variational principles is constructed for the Boussinesq equation systems and variant Boussinesq equation systems of fluid dynamics.The obtained variational principles have also proved to be correct. |
| Keywords: | semi-inverse method generalized variational principles Boussinesq equation systems |
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