Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain (Q2843446)

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scientific article; zbMATH DE number 6200927
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Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain
scientific article; zbMATH DE number 6200927

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    22 August 2013
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    periodic homogenization
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    two-scale convergence
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    transmission conditions
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    Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain (English)
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    The paper deals with the homogenization of a heat-transfer problem posed in a porous medium with periodically-placed cylindric pores. The non-standard feature of the model is the presence of the nonlocal ``radiative'' operator in the transmission conditions. The authors prove rigorously the two-scale passage to the homogenization limit and finally illustrate their scenario numerically.
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