Composites with invisible inclusions: Eigenvalues of R-linear problem

被引：0

作者：

Mityushev, V. V. ^{[1
]}

机构：

[1] Pedag Univ, Dept Comp Sci & Computat Methods, Krakow, Poland

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2016年 / 27卷 / 05期

关键词：

invisible inclusions; R-linear problem; metamaterials; univalent eigenfunction; ANTIPLANE ELASTICITY; CIRCULAR-CYLINDERS; COATED INCLUSIONS; CONDUCTIVITY; FIELDS;

D O I：

10.1017/S0956792516000152

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new eigenvalue R-linear problem arisen in the theory of metamaterials and neutral inclusions is reduced to integral equations. The problem is constructively investigated for circular non-overlapping inclusions. An asymptotic formula for eigenvalues is deduced when the radii of inclusions tend to zero. The nodal domains conjecture related to univalent eigenfunctions is posed. Demonstration of the conjecture allows to justify that a set of inclusions can be made neutral by surrounding it with an appropriate coating.

引用

页码：796 / 806

页数：11

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