论文标题
关于统计流体力学原理的评论
Remarks on the principles of statistical fluid mechanics
论文作者
论文摘要
这是对以HOPF功能微分方程为中心的统计流体力学的特质调查。使用汉堡方程进行说明，我们回顾了湍流理论的几种功能整合方法。我们特别注意到，在随机媒体中从事波浪传播的研究人员已经提出了一些重要的贡献，其中乌里尔·弗里施（Uriel Frisch）并不例外。我们还讨论了汉堡方程的特定有限维近似。
This is an idiosyncratic survey of statistical fluid mechanics centering on the Hopf functional differential equation. Using the Burgers equation for illustration we review several functional integration approaches to theory of turbulence. We notice in particular that some important contributions have been brought about by researchers working on wave propagation in random media, among which Uriel Frisch is not an exception. We also discuss a particular finite-dimensional approximation for the Burgers equation.
