Divergence theorem ↩

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shorthands: {}
aliases: [divergence theorem, Gauss theorem, Gauss's theorem, Ostrogradsky's theorem]
created: 2021-10-20 00:48:15
modified: 2022-01-10 04:13:04

Also known as Gauss's theorem or Ostrogradsky's theorem.
Take a compact volume

and its boundary

, then:

The volume integral of the divergence of a vector field equals the surface integral of the vector field on the boundary of the volume.