Navier–Stokes equations

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Navier–Stokes equations

Quality:

Navier–Stokes equations - system of nonlinear partial differential equations describing the motion of viscous fluids. Article "Navier–Stokes equations" in English Wikipedia has 70.8 points for quality (as of August 1, 2024). The article contains 66 references and 33 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In July 2024 the article "Navier–Stokes equations" was edited by 1 authors in English Wikipedia and written by 10 authors in all languages.

Since the creation of article "Navier–Stokes equations", its content was written by 490 registered users of English Wikipedia and edited by 1744 registered Wikipedia users in all languages.

The article is cited 574 times in English Wikipedia and cited 3008 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #137 in April 2002
  • Global: #206 in April 2002

The highest popularity rank from 2008:

  • Local (English): #3278 in March 2019
  • Global: #4898 in January 2014

There are 37 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from August 1, 2024 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Navier–Stokes equations
70.7968
2French (fr)
Équations de Navier-Stokes
57.8987
3German (de)
Navier-Stokes-Gleichungen
51.4492
4Chinese (zh)
纳维-斯托克斯方程
39.8618
5Japanese (ja)
ナビエ–ストークス方程式
38.8632
6Portuguese (pt)
Equações de Navier-Stokes
38.0281
7Romanian (ro)
Ecuațiile Navier-Stokes
36.8429
8Norwegian (Nynorsk) (nn)
Navier-Stokes-likningane
31.7706
9Polish (pl)
Równania Naviera-Stokesa
30.0226
10Turkish (tr)
Navier-Stokes denklemleri
29.584
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Navier–Stokes equations" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Navier–Stokes equations
9 896 481
2German (de)
Navier-Stokes-Gleichungen
1 923 064
3Japanese (ja)
ナビエ–ストークス方程式
1 734 822
4French (fr)
Équations de Navier-Stokes
1 546 611
5Russian (ru)
Уравнения Навье — Стокса
1 162 840
6Spanish (es)
Ecuaciones de Navier-Stokes
1 146 720
7Italian (it)
Equazioni di Navier-Stokes
915 076
8Chinese (zh)
纳维-斯托克斯方程
607 924
9Portuguese (pt)
Equações de Navier-Stokes
414 938
10Polish (pl)
Równania Naviera-Stokesa
327 094
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "Navier–Stokes equations" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Navier–Stokes equations
44 972
2German (de)
Navier-Stokes-Gleichungen
13 267
3Japanese (ja)
ナビエ–ストークス方程式
11 413
4French (fr)
Équations de Navier-Stokes
4 916
5Chinese (zh)
纳维-斯托克斯方程
4 342
6Spanish (es)
Ecuaciones de Navier-Stokes
4 335
7Russian (ru)
Уравнения Навье — Стокса
4 249
8Italian (it)
Equazioni di Navier-Stokes
3 551
9Korean (ko)
나비에-스토크스 방정식
2 475
10Portuguese (pt)
Equações de Navier-Stokes
1 265
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Navier–Stokes equations" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Navier–Stokes equations
490
2German (de)
Navier-Stokes-Gleichungen
181
3French (fr)
Équations de Navier-Stokes
147
4Italian (it)
Equazioni di Navier-Stokes
106
5Russian (ru)
Уравнения Навье — Стокса
100
6Japanese (ja)
ナビエ–ストークス方程式
63
7Dutch (nl)
Navier-Stokesvergelijkingen
57
8Chinese (zh)
纳维-斯托克斯方程
46
9Spanish (es)
Ecuaciones de Navier-Stokes
44
10Portuguese (pt)
Equações de Navier-Stokes
36
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in July 2024

Language versions of the article "Navier–Stokes equations" with the highest AI in July 2024
#LanguageAI awardRelative AI
1German (de)
Navier-Stokes-Gleichungen
3
2Catalan (ca)
Equacions de Navier-Stokes
1
3English (en)
Navier–Stokes equations
1
4French (fr)
Équations de Navier-Stokes
1
5Japanese (ja)
ナビエ–ストークス方程式
1
6Korean (ko)
나비에-스토크스 방정식
1
7Romanian (ro)
Ecuațiile Navier-Stokes
1
8Chinese (zh)
纳维-斯托克斯方程
1
9Arabic (ar)
معادلات نافييه-ستوكس
0
10Bulgarian (bg)
Уравнения на Навие-Стокс
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Navier–Stokes equations" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Navier–Stokes equations
574
2French (fr)
Équations de Navier-Stokes
260
3German (de)
Navier-Stokes-Gleichungen
189
4Russian (ru)
Уравнения Навье — Стокса
185
5Persian (fa)
معادلات ناویه–استوکس
165
6Portuguese (pt)
Equações de Navier-Stokes
158
7Italian (it)
Equazioni di Navier-Stokes
142
8Japanese (ja)
ナビエ–ストークス方程式
141
9Ukrainian (uk)
Рівняння Нав'є — Стокса
132
10Spanish (es)
Ecuaciones de Navier-Stokes
125
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
معادلات نافييه-ستوكس
bgBulgarian
Уравнения на Навие-Стокс
caCatalan
Equacions de Navier-Stokes
csCzech
Navierovy–Stokesovy rovnice
daDanish
Navier-Stokes' ligning
deGerman
Navier-Stokes-Gleichungen
enEnglish
Navier–Stokes equations
esSpanish
Ecuaciones de Navier-Stokes
euBasque
Navier-Stokes ekuazioak
faPersian
معادلات ناویه–استوکس
fiFinnish
Navierin–Stokesin yhtälöt
frFrench
Équations de Navier-Stokes
glGalician
Ecuacións de Navier-Stokes
heHebrew
משוואות נאוויה-סטוקס
hiHindi
नेवियर-स्टोक्स समीकरण
huHungarian
Navier–Stokes-egyenletek
hyArmenian
Նավիե-Ստոքսի հավասարում
itItalian
Equazioni di Navier-Stokes
jaJapanese
ナビエ–ストークス方程式
koKorean
나비에-스토크스 방정식
nlDutch
Navier-Stokesvergelijkingen
nnNorwegian (Nynorsk)
Navier-Stokes-likningane
noNorwegian
Navier-Stokes-ligningene
plPolish
Równania Naviera-Stokesa
ptPortuguese
Equações de Navier-Stokes
roRomanian
Ecuațiile Navier-Stokes
ruRussian
Уравнения Навье — Стокса
simpleSimple English
Navier–Stokes equations
slSlovenian
Navier-Stokesove enačbe
srSerbian
Navje–Stoksove jednačine
svSwedish
Navier–Stokes ekvationer
taTamil
நேவியர்-ஸ்டோக்சு சமன்பாடுகள்
thThai
สมการนาเวียร์–สโตกส์
trTurkish
Navier-Stokes denklemleri
ukUkrainian
Рівняння Нав'є — Стокса
viVietnamese
Phương trình Navier–Stokes
zhChinese
纳维-斯托克斯方程

Popularity rank trends

Best Rank English:
#3278
03.2019
Global:
#4898
01.2014

AI rank trends

Best Rank English:
#137
04.2002
Global:
#206
04.2002

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Navier–Stokes equations from Wikipedia articles about Millennium Problems, Gifted, Navier–Stokes existence and smoothness, Partial differential equation and Fluid mechanics. Whereas reading the article about Navier–Stokes equations people most often go to Wikipedia articles on Millennium Problems, Navier–Stokes existence and smoothness, Claude-Louis Navier, Sir George Stokes, 1st Baronet and Euler equations.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 April 2025

On 21 April 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Pope Francis, Benedict XVI, pope, John Paul II, list of popes, John Paul I, conclave, Vatican City, Prophecy of the Popes, Paul VI.

In English Wikipedia the most popular articles on that day were: Pope Francis, WrestleMania 41, Pope Benedict XVI, List of popes, Untitled Ryan Coogler film, Pope, 1989 Tiananmen Square protests and massacre, Pope John Paul II, Indonesia, The Last of Us (TV series).

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information