Instability of dielectrics and conductors in electrostatic fieldsReport as inadecuate




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1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique 2 DeFI - Shape reconstruction and identification CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7641 3 Department of Mathematics - University of Michigan

Abstract : This article proves most of the assertion in §116 of Maxwell-s treatise on electromagnetism. The results go under the name Earnshaw-s Theorem and assert the absence of stable equilibrium configurations of conductors and dielectrics in an external electrostatic field.

Keywords : dielectric perfect conductor Instability electromagnetism Dirichlet-s Theorem Earnshaw-s Theorem





Author: Grégoire Allaire - Jeffrey Rauch -

Source: https://hal.archives-ouvertes.fr/



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