Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

Abstract

Asymptotic expansions of the voltage potential in terms of the “radius” of a diametrically small (or several diametrically small) material inhomogeneity(ies) are by now quite well-known. Such asymptotic expansions for diametrically small inhomogeneities are uniform with respect to the conductivity of the inhomogeneities.