irrotational field

Suppose Ω is an open set in 3, and 𝐕 is a vector field with differentiableMathworldPlanetmathPlanetmath real (or possibly complex) valued componentPlanetmathPlanetmathPlanetmath functions. If ×𝐕=0, then 𝐕 is called an irrotional vector field, or curl free field.

If 𝐔 and 𝐕 are irrotational, then 𝐔×𝐕 is solenoidal.

Title irrotational field
Canonical name IrrotationalField
Date of creation 2013-03-22 13:09:05
Last modified on 2013-03-22 13:09:05
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 9
Author mathcam (2727)
Entry type Definition
Classification msc 26B12
Synonym irrotational vector field
Synonym curl free field
Synonym curl-free vector field
Related topic Curl
Related topic LaminarField