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Nonlinear Neutral Inclusions: Assemblages of Coated Ellipsoids

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.

preprint2014arXivOpen access
Silvia Jiménez BolañosBogdan Vernescu
math.AP
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Silvia Jiménez BolañosBogdan Vernescu

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