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Divergence (∇⋅, div())

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Calculus Gradient, Divergence, Curl, and Laplacian
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
Takes a vector field as input and produces a scalar field.
Mnemonic: it gives out the amount of fluid that is going in or out of a given volume per unit of time.
Therefore, if you take a cubic volume:
  • the input has to be the 6 flows across each face, therefore 3 derivatives
  • the output is the variation of the quantity of fluid, and therefore a scalar

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 Incoming links (3)

  • Divergence in Einstein notation
  • Einstein notation for partial derivatives
  • Maxwell's equations

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