The Newtonian Potential and the Demagnetizing Factors of the General Ellipsoid
Keyword(s):
The objective of this paper is to present a modern and concise new derivation for the explicit expression of the interior and exterior Newtonian potential generated by homogeneous ellipsoidal domains in $\mathbb{R}^N$ (with $N \geqslant 3$). The very short argument is essentially based on the application of Reynolds transport theorem in connection with Green-Stokes integral representation formula for smooth functions on bounded domains of$\mathbb{R}^N$, which permits to reduce the N-dimensional problem to a 1-dimensional one. Due to its physical relevance, a separate section is devoted to the derivation of the demagnetizing factors of the general ellipsoid which are one of the most fundamental quantities in ferromagnetism.
2016 ◽
Vol 472
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pp. 20160197
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2019 ◽
2006 ◽
Vol 29
(6)
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pp. 655-664
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2012 ◽
Vol 57
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pp. 411-424
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2015 ◽
Vol 54
(9)
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pp. 3195-3202
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