Thin cylindrical conductivity inclusions in a 3-dimensional domain: polarization tensor and unique determination from boundary data
Résumé
We consider a $3$-dimensional conductor containing an inclusion that can be repr esented as a cylinder with fixed axis and a small basis. As the size of the bas is of the cylinder approaches zero, the voltage perturbation can be described by means of a polarization tensor. We give an explicit characterization of the pol arization tensor of cylindrical inclusions in terms of the polarization tensor o f its base, and we use this result to show that the axis of the inclusion can b e uniquely determined by boundary values of the voltage perturbation.
Origine | Fichiers produits par l'(les) auteur(s) |
---|