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IEVref:102-05-29ID:
Language:enStatus: Standard
Term: Laplacian, <of a vector field>
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Definition: vector ΔU associated at each point of a given space region with a vector U, equal to the gradient of the divergence of the vector field minus the rotation of the rotation of this vector field

ΔU = grad div Urot rot U

Note 1 to entry: In orthonormal Cartesian coordinates, the three components of the Laplacian of a vector field are:

2Uxx2+2Uxy2+2Uxz2,2Uyx2+2Uyy2+2Uyz2,2Uzx2+2Uzy2+2Uzz2.

Note 2 to entry: The Laplacian of the vector field U is denoted by ΔU or ∇2U, where Δ is the Laplacian operator.


Publication date:2008-08
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
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