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- W2014183463 abstract "The problem of accumulation of charge at convex regions of a two-dimensional conductor is studied by an extension of the Schwarz—Christoffel Theory developed in a previous paper. We consider first the curvilinear polygonal conductor and show that the charge density, σ, tends to infinity as we approach a prominent vertex just as in the linear case. Secondly, in order to study a surface which does not have a vertex but merely a place of high curvature, we investigate the behaviour of σ on a sequence of simple geometrically similar conductors, {Sn}, which is such that as n increases the curvature in a certain region becomes increasingly large. It is shown that for a given surface, σ in this region has its maximum value and as n tends to infinity this maximum value also tends to infinity." @default.
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- W2014183463 date "1985-07-01" @default.
- W2014183463 modified "2023-09-28" @default.
- W2014183463 title "Charge density, vertices and high curvature in two-dimensional electrostatics" @default.
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- W2014183463 doi "https://doi.org/10.1016/0304-3886(85)90015-4" @default.
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