Electric field concentration in the presence of an inclusion with eccentric core-shell geometry

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In this paper we analyze the gradient blow-up of the solution to the conductivity problem in two dimensions in the presence of an inclusion with eccentric core-shell geometry. Assuming that the core and shell have circular boundaries that are nearly touching, we derive an asymptotic formula for the solution in terms of the single and double layer potentials with image line charges. We also deduce an integral formula with image line charges for the problem relating to two nearly touching separated conductors.
Publisher
SPRINGER HEIDELBERG
Issue Date
2019-02
Language
English
Article Type
Article
Citation

MATHEMATISCHE ANNALEN, v.373, no.1-2, pp.517 - 551

ISSN
0025-5831
DOI
10.1007/s00208-018-1688-6
URI
http://hdl.handle.net/10203/261854
Appears in Collection
MA-Journal Papers(저널논문)
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