Divergence theorem for a non-closed surface?

jeudi 18 septembre 2014

Is there some way we can apply divergence (Gauss') theorem for an open surface, with boundaries? Like a paraboloid that ends at some point, but isn't closed with a plane on the top.



I found this at Wikipedia:

It can not directly be used to calculate the flux through surfaces with boundaries



but I couldn't find some further explanation, like under what conditions it can be applied, or in what way we can "indirectly" use it.





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