Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive LayerReportar como inadecuado




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1 Ampère 2 LAPLACE - Laboratoire Plasma et Conversion d-Energie Toulouse 3 MC2 - Modélisation, contrôle et calcul Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251 4 IMB - Institut de Mathématiques de Bordeaux

Abstract : We study the steady-state potential in a high contrast medium with a resistive thin layer. We provide asymptotic expansion of the potential at any order. Transmission conditions at any order and the corresponding variational formulation are given. We prove uniform estimates with respect to the thickness of the layer and with respect to its resistivity. The main insight consists in the uniform variational formulation whatever small the layer conductivity is. Numerical simulations illustrate the theoretical results.





Autor: Ronan Perrussel - Clair Poignard -

Fuente: https://hal.archives-ouvertes.fr/



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