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Helmholtz decomposition of vectors


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  • 1 month later...

There is a theorem of Helmholtz that says a vector field can be written as the sum of the grad of a scalar and curl of a vector. . The proof revolves around constructing a solution then showing it is unique.

 

I suspect, though, that this is at an inappropriate level of complexity.

 

See here:

 

http://mathworld.wolfram.com/HelmholtzsTheorem.html

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