Category:Solenoidal Vector Fields

From ProofWiki
Jump to navigation Jump to search

This category contains results about Solenoidal Vector Fields.
Definitions specific to this category can be found in Definitions/Solenoidal Vector Fields.

Let $\mathbf V$ be a vector field acting over a region of space $R$.


Definition 1

$\mathbf V$ is defined as being solenoidal if and only if its divergence is everywhere zero:

$\operatorname {div} \mathbf V = 0$


Definition 2

$\mathbf V$ is defined as being solenoidal if and only if lines of flux form closed curves.

Subcategories

This category has only the following subcategory.