Properties of the Stokes equation. Verify that both the pressure and the vorticity field satisfy the Laplace equation for Stokes flow. Verify that the velocity field satisfies the biharmonic equation...

Properties of the Stokes equation. Verify that both the pressure and the vorticity field satisfy the Laplace equation for Stokes flow. Verify that the velocity field satisfies the biharmonic equation ∇4v = 0 (15.81)

General solution for ψ. Derive the general solution for ψ given in the text (Eq. (15.9)).