The aim of this work is to provide a description of the corner asymptotics for the solutions of Maxwell equations in and outside a conductor body and to investigate the limit as the ratio d := permittivity/conductivity tends to zero (the eddy current limit). Corner singularities of the Maxwell transmission problem and also of the eddy current model have been described in earlier works: See CDN1, CDN2.
Here we concentrate on the uniform behavior with respect to the small parameter d -- analyticity of the singular functions and stability of the decomposition of the fields into regular and singular parts.
Contribution to The Erhard Meister Memorial Volume
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