In this paper we investigate the possibility of deriving "non-standard" transmission conditions, across a sharp contact interface, for a heat equation (though 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.
Double layer concentration and homogenization for the heat diffusion in a composite material / Amar, M.; Ayub, A.; Gianni, R.. - (2023).
Double layer concentration and homogenization for the heat diffusion in a composite material
Amar M.
;
2023
Abstract
In this paper we investigate the possibility of deriving "non-standard" transmission conditions, across a sharp contact interface, for a heat equation (though 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.File allegati a questo prodotto
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