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.
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