Papkovich–Neuber representation (source code)

= Papkovich–Neuber representation
{c}
{wiki}

Every homogeneous Stokes flow can be represented using a harmonic vector field $\boldsymbol\Phi$ and harmonic scalar $\chi$ as
$$
2\mu\mathbf u=\nabla(\mathbf x\cdot\boldsymbol\Phi+\chi)-2\boldsymbol\Phi,
\qquad p=\nabla\cdot\boldsymbol\Phi.
$$