In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating coefficients, in a domain Ω of R^n consisting of a connected component Ωε1 and a disconnected one Ωε2, which is union of ε-periodic connected components of size rε, with rε << ε. On the contact surface Γε = ∂Ωε2 separating these two subsets of Ω we prescribe the continuity of the conormal derivatives and a jump of the solution which is proportional to the conormal derivative by means of a function δε. Here, we prove a result concerning the case in which the sequence rε/ε^2 δε is bounded.
Homogenization of a composite with very small inclusions and imperfect interface
MONSURRO', SARA
2005-01-01
Abstract
In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating coefficients, in a domain Ω of R^n consisting of a connected component Ωε1 and a disconnected one Ωε2, which is union of ε-periodic connected components of size rε, with rε << ε. On the contact surface Γε = ∂Ωε2 separating these two subsets of Ω we prescribe the continuity of the conormal derivatives and a jump of the solution which is proportional to the conormal derivative by means of a function δε. Here, we prove a result concerning the case in which the sequence rε/ε^2 δε is bounded.File in questo prodotto:
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