推导Navier–Stokes方程用的Stokes的三条假设

STOKES’ THREE HYPOTHESES USED IN DERIVING THE NAVIER–STOKES EQUATION

摘要: Navier–Stokes方程是流体力学中的基本方程。英国人George G Stokes在1845年从连续介质力学的观点推导这个方程时用了3个假设。这篇文章提供了一些Augustin L Cauchy在1827年和1828年的两份工作中的信息，表明3个假设所涉及的概念在Cauchy的工作中已有。

Abstract: The Navier–Stokes equation in fluid mechanics is a fundamental equation. George G. Stokes in England derived the equation by using three hypotheses from the method of continuum mechanics in 1845. However, the three hypotheses can be found in the work of Augustin L Cauchy in 1827 and 1828. The present manuscript provides some information on the concepts of the three hypotheses in the work of Cauchy.