Poisson's Differential Equation for Rotational and Solenoidal Field/Examples/Rotational Motion of Incompressible Fluid

Example of Poisson's Differential Equation for Rotational and Solenoidal Field

Let $B$ be a body of incompressible fluid.

Let $B$ be undergoing rotational motion.

Let $\mathbf V$ be the vector field which describes the rotational motion of $B$.

Then $\mathbf V$ satisfies Poisson's Differential Equation for Rotational and Solenoidal Field.

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: $\text {(iii)}$