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Oct 18, 2018 at 19:09 vote accept eyeballfrog
Feb 22, 2017 at 6:04 comment added eyeballfrog Actually I think that does it. $\nabla^2 \mathbf{u} = \boldsymbol \nabla( \boldsymbol \nabla\cdot\mathbf{u}) - \boldsymbol\nabla \times (\boldsymbol\nabla \times \mathbf{u}) $. If we assume $\boldsymbol \nabla\cdot \mathbf{u} = 0$, then $\mathbf{u}$ simply has to satisfy $\boldsymbol \nabla\times\mathbf{u} = - \mathbf{A}$, which is easily solved.
Feb 22, 2017 at 4:00 history answered Michael Renardy CC BY-SA 3.0