irrotational field
Suppose is an open set in , and is a vector field with differentiable real (or possibly complex) valued component functions. If , then is called an irrotional vector field, or curl free field.
If and are irrotational, then is solenoidal.
Title | irrotational field |
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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 |