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.