Boussinesq方程组的广义变分原理

物理学报

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曹小群, 宋君强, 张卫民, 朱小谦, 赵军. 2011: Boussinesq方程组的广义变分原理, 物理学报, 60(8): 32-36.

引用本文:

曹小群, 宋君强, 张卫民, 朱小谦, 赵军. 2011: Boussinesq方程组的广义变分原理, 物理学报, 60(8): 32-36.

2011: Generalized variational principles for Boussinesq equation systems, Acta Physica Sinica, 60(8): 32-36.

Citation:

2011: Generalized variational principles for Boussinesq equation systems, Acta Physica Sinica, 60(8): 32-36.

Generalized variational principles for Boussinesq equation systems

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.
- 半反推法 /
- 广义变分原理 /
- Boussinesq方程组
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.