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Beltrami Field

A Vector Field u satisfying the vector identity

{\bf u}\times(\nabla\times{\bf u})={\bf0}

where ${\bf A}\times{\bf B}$ is the Cross Product and $\nabla\times{\bf A}$ is the Curl is said to be a Beltrami field.

See also Divergenceless Field, Irrotational Field, Solenoidal Field

© 1996-9 Eric W. Weisstein