heat equation

partial differential equation for distribution of heat in a given region over time
Thing parabolic_partial_differential_equation Q6510488
heat equation
Oleg Alexandrov · Public Domain · Wikimedia
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heat equation

Summary

heat equation is a parabolic partial differential equation[1]. It draws 1,317 Wikipedia views per month (parabolic_partial_differential_equation category, ranking #1 of 1).[2]

Key Facts

  • heat equation is credited with the discovery of Joseph Fourier[3].
  • heat equation's image is recorded as Heat eqn.gif[4].
  • heat equation's instance of is recorded as parabolic partial differential equation[5].
  • heat equation's instance of is recorded as physical theory[6].
  • heat equation's Commons category is recorded as Heat equation[7].
  • heat equation's time of discovery or invention is recorded as +1822-00-00T00:00:00Z[8].
  • heat equation's Freebase ID is recorded as /m/0166cq[9].
  • heat equation's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/heat-equation[10].
  • heat equation's Stack Exchange tag is recorded as https://mathoverflow.net/tags/heat-equation[11].
  • heat equation's defining formula is recorded as \frac{\partial u}{\partial t} - \alpha \nabla^2 u = 0[12].
  • heat equation's studied by is recorded as thermodynamics[13].
  • heat equation's MathWorld ID is recorded as HeatConductionEquation[14].
  • heat equation's Quora topic ID is recorded as Heat-Equation[15].
  • heat equation's JSTOR topic ID is recorded as particle-diffusion[16].
  • heat equation's nLab ID is recorded as heat equation[17].
  • heat equation's World of Physics ID is recorded as HeatConductionEquation[18].
  • heat equation's World of Physics ID is recorded as HeatConductionEquation1-Dimensional[19].
  • heat equation's World of Physics ID is recorded as HeatConductionEquation2-Dimensional[20].
  • heat equation's World of Physics ID is recorded as HeatConductionEquation3-Dimensional[21].
  • heat equation's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • heat equation's Microsoft Academic ID is recorded as 202787564[23].
  • heat equation's ProofWiki ID is recorded as Definition:Heat_Equation[24].
  • heat equation's in defining formula is recorded as u[25].
  • heat equation's in defining formula is recorded as t[26].
  • heat equation's in defining formula is recorded as \nabla^2[27].

Body

Works and Contributions

heat equation is credited with the discovery of Joseph Fourier[3].

Why It Matters

heat equation draws 1,317 Wikipedia views per month (parabolic_partial_differential_equation category, ranking #1 of 1).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[28]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [3] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. 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.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. 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). heat equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/heat-equation
MLA “heat equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/heat-equation.
BibTeX @misc{4ortxyz_heat-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{heat equation}}, year = {2026}, url = {https://4ort.xyz/entity/heat-equation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): heat equation — https://4ort.xyz/entity/heat-equation (retrieved 2026-05-03)

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