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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Displaying similar documents to “Asymptotic analysis to a phase-field model with a nonsmooth memory kernel.”
A perturbation problem with two small parameters in the framework of the heat conduction of a fiber reinforced body
Ignition properties of thermally thin plastics: the effectiveness of non-competitive char formation in reducing flammability.
Nelson, M. I., Brindley, J., McIntosh, A. C. (2002)
Journal of Applied Mathematics and Decision Sciences
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On a mathematical model of a heat exchange process in conductors
J. Jędrzejewski, J. Skopiec (1974)
Applicationes Mathematicae
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Homogenization of a Conductive-Radiative Heat Transfer Problem
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...
Derivation of a homogenized two-temperature model from the heat equation
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,...
A two-stage heat transfer model for the peripheral layers of a grain store.
Antic, Alexsandar, Hill, James M. (2003)
Journal of Applied Mathematics and Decision Sciences
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Estimates of the heat content on a class of domains.
Savo, Alessandro (1997)
General Mathematics
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Steady heat transfer through a two-dimensional rectangular straight fin.
Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Heat Kernel : rencontre entre physiciens et mathématiciens
G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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On Conduction of heat by rarefied gases
Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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Heat Conduction And H-Function
Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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On the thermal aspect of dynamic contact problems
Christof Eck, Jiří Jarušek (2001)
Mathematica Bohemica
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A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.
Exponential decay to partially thermoelastic materials
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.