title: Nonlinear neutral inclusions: assemblages of coated ellipsoids.
abstract: The problem of determining nonlinear neutral inclusions in (electrical or thermal) conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied electric field, do not disturb the field outside the inclusions. The well-known Hashin-coated sphere construction is an example of a neutral inclusion. In this paper, we consider the problem of constructing neutral inclusions from nonlinear materials. In particular, we discuss assemblages of coated ellipsoids. The proposed construction is neutral for a given applied field.
authors.affiliation: Department of Mathematics , Colgate University , 13 Oaks Drive, Hamilton, NY 13346, USA.
authors.forename: Silvia Jiménez
authors.initials: SJ
authors.lastname: Bolaños
authors.affiliation: Department of Mathematical Sciences , Worcester Polytechnic Institute , 100 Institute Road, Worcester, MA 01609, USA.
authors.forename: Bogdan
authors.initials: B
authors.lastname: Vernescu
keywords: confocal ellipsoids; neutral inclusions; nonlinear dielectrics; p-Laplacian