用Zwanzig-Mori方法推导纳维-斯托克斯方程的问题:修正和求解
Problem with the derivation of the Navier-Stokes equation by means of Zwanzig-Mori technique: Correction and solution
摘要:
从刘维尔方程出发,利用投影技术推导出纳维-斯托克斯方程,得到了一个速度非线性的摩擦项。正如在1中所解释的那样。在本文的另一个版本中,当项的二阶部分为非零时,这会导致方程的不正确公式。在这2.版本,它表明,问题是由于一个不充分的治疗的关联函数出现。重复计算导致零二阶部分。利用投影算子技术正确地导出了纳维-斯托克斯方程。
英文摘要:
The derivation of the Navier-Stokes equation starting from the Liouville equation using projector techniques yields a friction term which is nonlinear in the velocity. As has been explained in the 1. version of this paper, when the second-order part of the term is non-zero, this leads to an incorrect formula for the equation. In this 2. version, it is shown that the problem is due to an inadequate treatment of one of the correlation functions appearing . Repeating the calculation leads to zero second-order part. The Navier-Stokes equation is correctly derived by projection operator technique.
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