Definition:Solenoidal Vector Field/Definition 1
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Definition
Let $\mathbf V$ be a vector field acting over a region of space $R$.
$\mathbf V$ is defined as being solenoidal if and only if its divergence is everywhere zero:
- $\operatorname {div} \mathbf V = 0$
Also see
Sources
- 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {IV}$: The Operator $\nabla$ and its Uses: $3$. The Divergence of a Vector Field: $(4.7)$