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Second order corrector in the homogenization of a conductive-radiative heat transfer problem - MaRDI portal

Second order corrector in the homogenization of a conductive-radiative heat transfer problem (Q1943282)

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scientific article; zbMATH DE number 6146697
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Second order corrector in the homogenization of a conductive-radiative heat transfer problem
scientific article; zbMATH DE number 6146697

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    Second order corrector in the homogenization of a conductive-radiative heat transfer problem (English)
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    19 March 2013
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    The interest of the authors lies in proving rigorous convergence rates for the homogenization limit (the so-called ``corrector estimates''). It turns out that for the discussed conductive-radiative problem second order correctors are needed to control oscillating temperature gradients in a local fashion. Note that here the radiative effect is described by means of a non-local boundary condition, a fact which introduces an essential non-standard feature in this framework.
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    corrector estimates
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    oscillating temperature gradients
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