非均匀介质中的Rossby波与Lagrange函数

ROSSBY WAVE IN NON-UNIFORM MEDIUM AND LAGRANGE FUNCTION

本文从大气波动所满足的一般非线性方程入手,利用Lagrange函数平均法以及限制性变分原理求得了非均匀介质中Rossby波的频散关系式,波作用量方程,和平均能量方程取得了比较合理的结果。进一步验证了应用平均限制性变分原理求非线性大气波动Lagrange函函数的可行性,为今后用变分方法研究更复杂的非线性大气波动作出有益的尝试。

In this paper the Lagrange function is used to study Rossby ware in non-uniform basic flow. The Rossby wave action and energy equations are derived from a limited variational principle with Lagraage approach. The results are reasonable. This theory is extended to deal with the propagation in a non-uniform medium at present.