Homogenization cases of heat transfer in structures with interfacial barriers

Dan Poliševski (1) , Renata Bunoiu (2) , Alina Stanescu (1)

1 IMAR - "Simion Stoilow" Institute of Mathematics
2 IECL - Institut Élie Cartan de Lorraine

The paper study the asymptotic behaviour of the heat transfer in a bounded domain formed by two interwoven connected components separated by an interface on which the heat flux is continuous and the temperature subjects to a first-order jump condition. The macroscopic laws and their effective coefficients are obtained by means of the two-scale convergence technique of the periodic homogenization theory for several orders of magnitude of the conductivities and of the jump transmission coefficient.

Mots clés: Homogenization; heat conduction; first-order jump in-terface; two-scale convergence

Domaines: Mathématiques [math]

Dan Poliševski, Renata Bunoiu, Alina Stanescu. Homogenization cases of heat transfer in structures with interfacial barriers. Bulletin mathématique de la Société des Sciences mathématiques de Roumanie, 2015, 58(106) (4), pp.463-473. ⟨hal-01283642⟩