English

Nonlinear Neutral Inclusions: Assemblages of Spheres

Mathematical Physics 2012-06-15 v3 math.MP

Abstract

If a neutral inclusion is inserted in a matrix containing a uniform applied electric field, it does not disturb the field outside the inclusion. The well known Hashin coated sphere is an example of a neutral coated inclusion. In this paper, we consider the problem of constructing neutral inclusions from nonlinear materials. In particular, we discuss assemblages of coated spheres and the two-dimensional analogous problem of assemblages of coated disks.

Cite

@article{arxiv.1201.4902,
  title  = {Nonlinear Neutral Inclusions: Assemblages of Spheres},
  author = {Silvia Jiménez and Bogdan Vernescu and William Sanguinet},
  journal= {arXiv preprint arXiv:1201.4902},
  year   = {2012}
}

Comments

18 pages, 10 figures

R2 v1 2026-06-21T20:08:46.911Z