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• W2097255012 abstract "In the paper we propose a new approach to the homogenization theory on periodic wire-networks and junctions, based on singular measures on these structures. We characterize the Sobolev spaces on such constructions and describe the fields of potential and solenoidal (divergence free) vector-function. Then we compare the effective coefficients obtained for the singular structures and the classical effective coefficients for thin constructions with vanishing thickness, and show that the corresponding diagram is commutative." @default.
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• W2097255012 date "2002-01-01" @default.
• W2097255012 modified "2023-09-25" @default.
• W2097255012 title "On homogenization of networks and junctions" @default.
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