三类大气基本波动的广义变分原理

摘要

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.%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.