Helmholtz decomposition
id:
helmholtz-decomposition-205-12497864
title:
Helmholtz decomposition
text:
In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that certain differentiable vector fields can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field. In physics, often only the decomposition of sufficiently smooth, rapidly decaying vector fields in three dimensions is discussed. It is named after Hermann von Helmholtz.
brand slug:
wiki
category slug:
encyclopedia
description:
Certain vector fields are the sum of an irrotational and a solenoidal vector field
original url:
https://en.wikipedia.org/wiki/Helmholtz_decomposition
date created:
2004-07-14T03:26:04Z
date modified:
2024-09-10T10:45:24Z
main entity:
{"identifier":"Q1153588","url":"https://www.wikidata.org/entity/Q1153588"}
image:
fields total:
13
integrity:
15