Definition:Solenoidal Vector Field/Definition 1

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

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


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

Also see

 * Equivalence of Definitions of Solenoidal Vector Field