Definition:Vector Field/Classification/Illustration

Illustration of Classification of Vector Fields

Let $R$ be a region of space.

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

The following diagram gives a visual impression of the properties of vector fields with various combinations of properties relating to divergence and curl:

Sources

• 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {V}$: Further Applications of the Operator $\nabla$: $7$. The Classification of Vector Fields: $\text {(iv)}$