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Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors
- DOI:
- 10.1080/03605300903079579
pages 1287-1315
Available online: 22 Sep 2009Abstract
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 ≥ 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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- Citation information:
- Available online: 22 Sep 2009
Author affiliations
- a Department of Mathematics, Colorado State University, Fort Collins, Colorado, USA
- b Department of Mathematics, Michigan State University, East Lansing, Michigan, USA
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