A perturbation problem with two small parameters in the framework of the heat conduction of a fiber reinforced body
D. Caillerie, B. Dinari (1987)
Banach Center Publications
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D. Caillerie, B. Dinari (1987)
Banach Center Publications
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Nelson, M. I., Brindley, J., McIntosh, A. C. (2002)
Journal of Applied Mathematics and Decision Sciences
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J. Jędrzejewski, J. Skopiec (1974)
Applicationes Mathematicae
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Zakaria Habibi (2012)
ESAIM: Proceedings
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This paper focuses on the contribution of the second order corrector in periodic homogenization applied to a conductive-radiative heat transfer problem. Especially, for a heat conduction problem in a periodically perforated domain with a non-local boundary condition modelling the radiative heat transfer, if this model contains an oscillating thermal source and a thermal exchange with the perforations, the second order corrector helps us to model the gradients which appear between the...
Laurent Desvillettes, François Golse, Valeria Ricci (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu,...
Antic, Alexsandar, Hill, James M. (2003)
Journal of Applied Mathematics and Decision Sciences
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Savo, Alessandro (1997)
General Mathematics
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Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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Jaime E. Muñoz Rivera, Vanilde Bisognin, Eleni Bisognin (2002)
Bollettino dell'Unione Matematica Italiana
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We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.