1. Homogenization cases of heat transfer in structures with interfacial barriers
- Author
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Poliševski, Dan, Bunoiu, Renata, Stanescu, Alina, 'Simion Stoilow' Institute of Mathematics (IMAR), Romanian Academy of Sciences, Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), and BUNOIU, Renata
- Subjects
first-order jump in-terface ,Homogenization ,heat conduction ,[MATH] Mathematics [math] ,two-scale convergence ,35B27 ,80M40 ,76M50 ,[MATH]Mathematics [math] - Abstract
International audience; 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.
- Published
- 2015