Approximate Transmission Conditions for the Laplacian in a High Contrast Medium with a Thin Layer. The Influence of the Curvature.
Résumé
We study the steady state potential in high contrast media with resistive or conductive thin layer. In both cases equivalent transmission conditions are given and the influence of the curvature is explicitly notified unlike the weak contrast media. The method used to derive the effective transmission conditions has been extensively described previously. We refer to [3] for the original paper and to [5], [4] for a more general description. It consists in a suitable change of variable in the thin layer in order to make appear the
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