Papkovich–Neuber representation (source code)

= Papkovich–Neuber representation
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Every homogeneous Stokes flow can be represented using a harmonic vector field $\boldsymbol\Phi$ and harmonic scalar $\chi$ as
$$
\mu\mathbf u=\boldsymbol\Phi-\frac12\nabla(\mathbf x\cdot\boldsymbol\Phi)+\nabla\chi,
\qquad p=-\nabla\cdot\boldsymbol\Phi.
$$