Navier–Stokes equations

system of nonlinear partial differential equations describing the motion of viscous fluids
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Navier–Stokes equations

Summary

Navier–Stokes equations is a system of differential equations[1]. It draws 5,597 Wikipedia views per month (system_of_differential_equations category, ranking #1 of 4).[2]

Key Facts

  • Navier–Stokes equations's instance of is recorded as system of differential equations[3].
  • Claude-Louis Navier is named after Navier–Stokes equations[4].
  • Sir George Stokes, 1st Baronet is named after Navier–Stokes equations[5].
  • Navier–Stokes equations is a type of nonlinear partial differential equation[6].
  • Navier–Stokes equations's Commons category is recorded as Navier-Stokes equations[7].
  • Navier–Stokes equations's topic's main category is recorded as Category:Navier-Stokes equations[8].
  • Navier–Stokes equations's facet of is recorded as Navier–Stokes existence and smoothness[9].
  • Navier–Stokes equations's described by source is recorded as Armenian Soviet Encyclopedia, vol. 8[10].
  • Navier–Stokes equations's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/navier-stokes[11].
  • Navier–Stokes equations's Stack Exchange tag is recorded as https://mathoverflow.net/tags/navier-stokes[12].
  • Navier–Stokes equations's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[13].
  • Navier–Stokes equations's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Navier–Stokes equations's maintained by WikiProject is recorded as WikiProject Fluid dynamics[15].

Body

Definition and Type

Navier–Stokes equations's instance of is recorded as system of differential equations[3]. It is a type of nonlinear partial differential equation[6].

Origins

Things named after include Claude-Louis Navier[4], a physicist[16], 1785–1836[17], of France[18], awarded the Knight of the Legion of Honour[19], specialised in mechanics[20] and Sir George Stokes, 1st Baronet[5], a mathematician[21], 1819–1903[22], of Ireland[23], awarded the Fellow of the Royal Society[24], specialised in mathematics[25].

Why It Matters

Navier–Stokes equations draws 5,597 Wikipedia views per month (system_of_differential_equations category, ranking #1 of 4).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[26] It is known by 74 alternative names across languages and contexts.[27]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.

Inline context (facts about related entities)

  1. [16] . Wikidata. wikidata.org. → on this site
  2. [17] . Wikidata. wikidata.org. → on this site
  3. [18] . Wikidata. wikidata.org. → on this site
  4. [19] . Wikidata. wikidata.org. → on this site
  5. [20] . Wikidata. wikidata.org. → on this site
  6. [21] . Wikidata. wikidata.org. → on this site
  7. [22] . Wikidata. wikidata.org. → on this site
  8. [23] . Wikidata. wikidata.org. → on this site
  9. [24] . Wikidata. wikidata.org. → on this site
  10. [25] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Navier–Stokes equations. Retrieved May 3, 2026, from https://4ort.xyz/entity/navier-stokes-equations
MLA “Navier–Stokes equations.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/navier-stokes-equations.
BibTeX @misc{4ortxyz_navier-stokes-equations_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Navier–Stokes equations}}, year = {2026}, url = {https://4ort.xyz/entity/navier-stokes-equations}, note = {Accessed: 2026-05-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 13d ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Instance of
    Facet of Navier–Stokes existence and smoothness
    Named after Claude-Louis Navier, Sir George Stokes, 1st Baronet
    Subclass of
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|5 */ [[Property:P2347]]: 39156, mv to monolingual text names on YSO statements"
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