On a new derivation of the Navier-Stokes equation

Atsushi Inoue, Tadahisa Funaki

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The Navier-Stokes equation is derived by 'adding' the effect of the Brownian motion to the Euler equation. This is an example suggesting the 'equation': 'Reversible phenomena' ⊕ 'Probability' = 'Irreversible phenomena'.

Original languageEnglish
Pages (from-to)83-90
Number of pages8
JournalCommunications in Mathematical Physics
Volume65
Issue number1
DOIs
Publication statusPublished - 1979 Feb
Externally publishedYes

Fingerprint

Euler Equations
Navier-Stokes equation
Brownian motion
Navier-Stokes Equations
derivation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

On a new derivation of the Navier-Stokes equation. / Inoue, Atsushi; Funaki, Tadahisa.

In: Communications in Mathematical Physics, Vol. 65, No. 1, 02.1979, p. 83-90.

Research output: Contribution to journalArticle

@article{59fcc18b8d6d4818884d5e84af29caaf,
title = "On a new derivation of the Navier-Stokes equation",
abstract = "The Navier-Stokes equation is derived by 'adding' the effect of the Brownian motion to the Euler equation. This is an example suggesting the 'equation': 'Reversible phenomena' ⊕ 'Probability' = 'Irreversible phenomena'.",
author = "Atsushi Inoue and Tadahisa Funaki",
year = "1979",
month = "2",
doi = "10.1007/BF01940961",
language = "English",
volume = "65",
pages = "83--90",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - On a new derivation of the Navier-Stokes equation

AU - Inoue, Atsushi

AU - Funaki, Tadahisa

PY - 1979/2

Y1 - 1979/2

N2 - The Navier-Stokes equation is derived by 'adding' the effect of the Brownian motion to the Euler equation. This is an example suggesting the 'equation': 'Reversible phenomena' ⊕ 'Probability' = 'Irreversible phenomena'.

AB - The Navier-Stokes equation is derived by 'adding' the effect of the Brownian motion to the Euler equation. This is an example suggesting the 'equation': 'Reversible phenomena' ⊕ 'Probability' = 'Irreversible phenomena'.

UR - http://www.scopus.com/inward/record.url?scp=4644276748&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4644276748&partnerID=8YFLogxK

U2 - 10.1007/BF01940961

DO - 10.1007/BF01940961

M3 - Article

AN - SCOPUS:4644276748

VL - 65

SP - 83

EP - 90

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -