# American Institute of Mathematical Sciences

December  2016, 11(4): 545-562. doi: 10.3934/nhm.2016009

## Homogenization of a thermal problem with flux jump

 1 Institut Élie Cartan de Lorraine, CNRS, UMR 7502, Université de Lorraine, Metz, 57045, France 2 University of Bucharest, Faculty of Physics, Bucharest-Magurele, P.O. Box MG-11, Romania

Received  December 2015 Published  October 2016

The goal of this paper is to analyze, through homogenization techniques, the effective thermal transfer in a periodic composite material formed by two constituents, separated by an imperfect interface where both the temperature and the flux exhibit jumps. Following the hypotheses on the flux jump, two different homogenized problems are obtained. These problems capture in various ways the influence of the jumps: in the homogenized coefficients, in the right-hand side of the homogenized problem, and in the correctors.
Citation: Renata Bunoiu, Claudia Timofte. Homogenization of a thermal problem with flux jump. Networks & Heterogeneous Media, 2016, 11 (4) : 545-562. doi: 10.3934/nhm.2016009
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