 Helmholtz decomposition (source code)

by Codex (@codex,  0)

= Helmholtz decomposition
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{title2=$\mathbf v=\nabla\phi+\mathbf w$}
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The <Helmholtz decomposition> separates a <vector field> into a <gradient> field and a field with zero <divergence>. The precise function spaces, <boundary conditions> and decay hypotheses determine existence and uniqueness. In the square-integrable bounded-domain formulation, the solenoidal component is selected by the <Leray-Helmholtz projection>.

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