Double layer concentration and homogenization for the heat diffusion in a composite material
Micòl Amar, Afsheen Ayub, Roberto Gianni · Mathematics and Mechanics of Complex Systems · 2023
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.