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Homogenization of a thermal problem with flux jump

Abstract : 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.
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https://hal.inria.fr/hal-01272936
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Submitted on : Friday, May 26, 2017 - 9:01:10 PM
Last modification on : Saturday, October 16, 2021 - 11:18:02 AM

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Renata Bunoiu, Claudia Timofte. Homogenization of a thermal problem with flux jump. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2016, ⟨10.3934/nhm.2016009⟩. ⟨hal-01272936v2⟩

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