Verify that both the pressure and the vorticity field satisfy the Laplace equation for Stokes flow. Verify

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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

\[\begin{equation*}abla^{4} \boldsymbol{v}=0 \tag{15.81}\end{equation*}\]

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