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Navier–Stokes equations

system of nonlinear partial differential equations describing the motion of viscous fluids
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Summary

Navier–Stokes equations is a system of differential equations[1]. It draws 51,725 Wikipedia views per month (system of differential equations category, ranking #1 of 4).[2]

Key Facts

  • Named after: Claude-Louis Navier[3], Sir George Stokes, 1st Baronet[4]
  • Subclass of: nonlinear partial differential equation[5]
  • Commons category: Navier-Stokes equations[6]
  • Topic's main category: Category:Navier-Stokes equations[7]
  • Facet of: Navier–Stokes existence and smoothness[8]
  • Described by source: Armenian Soviet Encyclopedia, vol. 8[9]
  • Stack Exchange tag: https://physics.stackexchange.com/tags/navier-stokes[10], https://mathoverflow.net/tags/navier-stokes[11]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[12]
  • Maintained by WikiProject: WikiProject Mathematics[13], WikiProject Fluid dynamics[14]

Why It Matters

Navier–Stokes equations has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[15] It is known by 102 alternative names across languages and contexts.[16]

Related Entities

Claude-Louis Navier Olga Ladyzhenskaya Sir George Stokes, 1st Baronet

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . 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 October 13, 2026, from https://4ort.xyz/entity/navier-stokes-equations
MLA “Navier–Stokes equations.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Oct. 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: 2026-10-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Navier–Stokes equations — https://4ort.xyz/entity/navier-stokes-equations (retrieved 2026-10-13)

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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. 13w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 42fcnQ
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  2. 14w ago · ~2026-36985-58 · 2026-07-03 view diff on Wikidata ↗
    Great norwegian encyclopedia id → Navier-Stokes_ligningene
    "/* wbsetclaim-create:2||1 */ Great norwegian encyclopedia id: Navier-Stokes_ligningene"
  3. 17w ago · Jindřich Rubeš · 2026-06-11 view diff on Wikidata ↗
    Svkkl authority id → h0003531-NavierStokesovy-rovnice
    "/* wbcreateclaim-create:1| */ Svkkl authority id: h0003531-NavierStokesovy-rovnice, [[:toollabs:quickstatements/#/batch/259494|batch #259494]]"
  4. 21w 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 */ Yso id: 39156, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.