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Incoming links: Helmholtz decomposition
Helmholtz decomposition Created 2026-10-06 Updated 2026-10-07
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.