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• W3083023615 abstract "We are concerned with the quantitative study of the electric field perturbation due to the presence of an inhomogeneous conductive rod embedded in a homogenous conductivity. We sharply quantify the dependence of the perturbed electric field on the geometry of the conductive rod. In particular, we accurately characterise the localisation of the gradient field (i.e. the electric current) near the boundary of the rod where the curvature is sufficiently large. We develop layer-potential techniques in deriving the quantitative estimates and the major difficulty comes from the anisotropic geometry of the rod.The result complements and sharpens several existing studies in the literature. It also generates an interesting application in EIT (electrical impedance tomography) in determining the conductive rod by a single measurement, which is also known as the Calderon's inverse inclusion problem in the literature." @default.
• W3083023615 created "2020-09-11" @default.
• W3083023615 creator A5039728635 @default.
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• W3083023615 date "2020-09-05" @default.
• W3083023615 modified "2023-09-26" @default.
• W3083023615 title "Sharp estimate of electric field from a conductive rod and application" @default.
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• W3083023615 doi "https://doi.org/10.48550/arxiv.2009.02525" @default.
• W3083023615 hasPublicationYear "2020" @default.
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