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Corrector results for a parabolic problem with a memory effect

Patrizia DonatoEditha C. Jose — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

The aim of this paper is to provide the correctors associated to the homogenization of a parabolic problem describing the heat transfer. The results here complete the earlier study in [Jose, (2009) 189–222] on the asymptotic behaviour of a problem in a domain with two components separated by an -periodic interface. The physical model established in [Carslaw and Jaeger, The Clarendon Press, Oxford (1947)] prescribes on the interface the condition that the flux of the temperature...

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