Concept information
Preferred term
Helmholtz's theorem
Definition(s)
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In physics and mathematics, in the area of vector calculus, Helmholtz's theorem, also known as the fundamental theorem of vector calculus, states that any sufficiently smooth, rapidly decaying vector field in three dimensions can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field; this is known as the Helmholtz decomposition or Helmholtz representation. It is named after Hermann von Helmholtz.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Helmholtz_decomposition)
Broader concept(s)
Synonym(s)
- fundamental theorem of vector calculus
- Helmholtz decomposition
- Helmholtz representation
In other languages
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French
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théorème fondamental du calcul vectoriel
URI
http://data.loterre.fr/ark:/67375/PSR-JL1617TJ-9
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