Nonlinear Neutral Inclusions: Assemblages of Coated Ellipsoids
Analysis of PDEs
2014-09-18 v1
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.
Cite
@article{arxiv.1409.4786,
title = {Nonlinear Neutral Inclusions: Assemblages of Coated Ellipsoids},
author = {Silvia Jiménez Bolaños and Bogdan Vernescu},
journal= {arXiv preprint arXiv:1409.4786},
year = {2014}
}