Mathematical Physics


Electrostatics and Fluid Flow with 3D Analytic Functions

Authors: Giuliano Bettini

I present examples of applications of 3-dimensional analytic functions to electrostatics and potential flows, mainly devoted to engineers and physicists. Of course, the paper only suggests areas of future development, despite that a persistent idea, from Sommerfeld on, seems to be "The powerful tool of the theory of complex functions cannot be used in three-dimensional potential theory" (Sommerfeld, "Mechanics of Deformable Bodies", Academic Press, 1950) I summarize here unpublished manuscripts dated 1994.

Comments: 21 pages.

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Submission history

[v1] 27 Aug 2011

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