Corner singularities of Maxwell interface and eddy current problems

Martin Costabel, Monique Dauge, Serge Nicaise [2003]

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

Link to the The Erhard Meister Memorial Volume

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