Dan Polişevschi
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

The paper deals with the asymptotic behavior of heat transfer in a bounded domain formed by two $\epsilon$-periodically interwoven components, with the magnitudes of the conductivities differing by $\epsilon^2$. The components might be both connected. At the interface, the heat flux is continuous and the tempera-ture subjects to a first-order jump condition. Using the two-scale convergence technique of the homogenization theory, we determine the macroscopic law when the order of magnitude of the jump transmission coefficient is $\epsilon^r, -1 < r \leq 1$. The homogeneous Dirichlet condition is imposed on the exterior boundary.