Polya Vector Field -

Let (\phi = u) (potential). Then

[ \nabla u = (u_x, u_y) = (v_y, -v_x). ] polya vector field

[ u_x = v_y, \quad u_y = -v_x. ]

So (\mathbfV_f) is (solenoidal) — it has a stream function. Let (\phi = u) (potential)