title: The Newtonian potential and the demagnetizing factors of the general ellipsoid.
abstract: 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 [Formula: see text] (withN≥3). The very short argument is essentially based on the application of Reynold's transport theorem in connection with the Green-Stokes integral representation formula for smooth functions on bounded domains of [Formula: see text], which permits to reduce theN-dimensional problem to a one-dimensional one. Owing to its physical relevance, a separate section is devoted to the the derivation of thedemagnetizing factorsof the general ellipsoid which are one of the most fundamental quantities in ferromagnetism.
authors.affiliation: CMAP, École Polytechnique , route de Saclay, 91128 Palaiseau Cedex, France.
authors.forename: Giovanni
authors.identifier: 0000-0003-0254-2957
authors.initials: G
authors.lastname: Di Fratta
keywords: Green–Stokes representation formula; Newton's shell theorem; Newtonian potential; Reynold's transport theorem; demagnetizing factors; layer potentials