从Euler K法正方程推导K法正方程(英文)

Fluid Dynamics Equations Viewed from Euler K Functional Equation

目的是在液体分子的分布符合局部 Gibbs分布 (正侧系综 )的条件下 ,从 Euler K泛函方程推导出描述液体平均密度 ,平均速度和平均能量演化的方程 ,作者从 K的泛函形式出发 ,考察了 Euler K泛函方程的一些特殊情形 .通过这些特殊情形得到了所需的平均速度方程 .平均密度方程和平均能量方程 .

The aim of this work is to derive, from Euler K functional Equation, equations governing the evolution of the average density, the average velocity and the average energy of the fluid under the condition that the distribution of the molecules of the fluid is a local Gibbs (canonical ensemble) distribution. We start with the form of K functional, and then take special cases of Euler K functional equation. From those special cases we derive the required equations of average velocity, average denisty and average energy.