Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors

Mikyoung Lim; KiHyun Yun

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arXiv · 0706.3237

Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors

Mikyoung Lim·KiHyun Yun

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Abstract

The electric field increases toward infinity in the narrow region between closely adjacent perfect conductors as they approach each other. Much attention has been devoted to the blow-up estimate, especially in two dimensions, for the practical relevance to high stress concentration in fiber-reinforced elastic composites. In this paper, we establish optimal estimates for the electric field associated with the distance between two spherical conductors in $n-${dimensional spaces for $n \geq 2$}. {The novelty of these estimates is that they explicitly describe the dependency of the blow-up rate on the geometric parameters: the radii of the conductors.}

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Mikyoung Lim, KiHyun Yun. 2008-09-01. Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors. https://arxiv.org/abs/0706.3237

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