Let v~,p~, and v2,p2 be two solutions to the continuity equation and eqn (4.8.2). Verify that the…

Let v~,p~, and v2,p2 be two solutions to the continuity equation and eqn (4.8.2). Verify that the sum v1 + v2, pl + p2 also satisfies the equations. (This is a consequence of the linearity of the equations.) Show that this result is not true if eqn (4.8.2) is replaced by the full Navier-Stokes equation.