We consider an electrically conducting medium with conductivity inhomogeneities in the form of sheets of thickness 2epsilon. In this setup we provide a rigorous derivation of the leading terms in the asymptotic expansion of the steady state boundary voltage potentials, as epsilon --> 0. In the two-dimensional case our derivation confirms the results, heuristically obtained in [E. Beretta et al., Z. Angew. Math. Phys. 52 (2001) 543-572]
Asymptotic formulas for steady state potentials in the presence of thin conductivity inhomogeneities
BERETTA, ELENA;
2003-01-01
Abstract
We consider an electrically conducting medium with conductivity inhomogeneities in the form of sheets of thickness 2epsilon. In this setup we provide a rigorous derivation of the leading terms in the asymptotic expansion of the steady state boundary voltage potentials, as epsilon --> 0. In the two-dimensional case our derivation confirms the results, heuristically obtained in [E. Beretta et al., Z. Angew. Math. Phys. 52 (2001) 543-572]File in questo prodotto:
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