Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors
| dc.creator | Lim, Mikyoung | |
| dc.creator | Yun, KiHyun | |
| dc.date | 2007-06-21 | |
| dc.date | 2008-09-01 | |
| dc.date.accessioned | 2026-07-07T09:59:18Z | |
| dc.date.available | 2026-07-07T09:59:18Z | |
| dc.description | 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.} | |
| dc.description | Prof. Mikyoung Lim is added as an auther to the revison, 27 pages | |
| dc.identifier | https://arxiv.org/abs/0706.3237 | |
| dc.identifier | http://arxiv.org/abs/0706.3237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167971 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 15A15, 15A09, 15A23 | |
| dc.title | Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors | |
| dc.type | text |