非局部微极流体力学的互易定理和变分原理

Reciprocal theorem and variational principles for nonlocal micropolor fluid mechanics

本文应用Laplace变换及其卷积定理,讨论了非局部微极流体动力学的互易定理。并且利用钱伟长关于两类广义变分原理的等价定理和Lagrange乘子法,导出了非局部微极线性流体动力学的广义变分原理。

In this paper,the reciprocal theorem is discussed by using LapLace transforms and inversion formulation, and the Generalized Variational Prmciples for nonlocal micropolar linear fluid mechanics are given and verified from W.Z.Ckien's eguivalence theorem for two types of Generalized Variational pnincipes and lagra-nge's multiplier method.