Remarks on the principles of statistical fluid mechanics-Reference-Cited by-同舟云学术

Remarks on the principles of statistical fluid mechanics

Published:2022-01-17 Issue:2218 Volume:380 Page:
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Ohkitani Koji¹^ORCID

Affiliation:

1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

Abstract

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 the theory of turbulence. We note 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. This article is part of the theme issue ‘’Scaling the turbulence edifice (part 1)’.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2021.0077

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