CHARACTERIZATION OF THE ELECTRIC FIELD CONCENTRATION BETWEEN TWO ADJACENT SPHERICAL PERFECT CONDUCTORS

被引：46
作者：
Kang, Hyeonbae [1 ]
Lim, Mikyoung [2 ]
Yun, Kihyun [3 ]
机构：
[1] Inha Univ, Dept Math, Inchon 402751, South Korea
[2] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea
[3] Hankuk Univ Foreign Studies, Dept Math, Youngin Si 449791, Gyeonggi Do, South Korea
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2014年 / 74卷 / 01期
关键词：
electric field; concentration; perfect conductor; adjacent inclusions; CONDUCTIVITY PROBLEM; BLOW-UP; INCLUSIONS; STRESSES; SPHERES; ENHANCEMENT; EQUATION;
D O I：
10.1137/130922434
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
When two perfectly conducting inclusions are located close to each other, the electric field concentrates in a narrow region in between two inclusions and becomes arbitrarily large as the distance between two inclusions tends to zero. The purpose of this paper is to derive an asymptotic formula of the concentration which completely characterizes the singular behavior of the electric field when inclusions are balls of the same radii in three dimensions.
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收藏
页码：125 / 146
页数：22
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