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


Papkovich–Neuber representation

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 329 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 329 / 1 / a / Solution

Papkovich–Neuber representation

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Papkovich–Neuber representation

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