Double layer concentration and homogenization for the heat diffusion in a composite material

Résumé fourni par la source

We investigate the possibility of deriving "nonstandard" transmission conditions, across a sharp contact interface, for a heat equation (in its static, i.e., elliptic, counterpart), by means of a concentration approach performed on a composite "thick" interface separating two thermally conductive media.Subsequently, a homogenization limit is performed via two-scale asymptotic expansions on the system of equations thus obtained.

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