In this article we consider heat transfer in a non-convex system that consists of a union of finitely many opaque, conductive and bounded objects which have diffuse and grey surfaces and are surrounded by a perfectly transparent and non-conducting medium (such as vacuum). The resulting problem is non-linear and in general is non-coercive due to the non-locality of the boundary conditions. We discuss the solvability of the problem by proving the existence of a weak solution. We extend the analysis to address the parabolic case and to the case with non-linear material properties. Also we consider some cases when coercivity is obtained and state the corresponding stronger existence results.

Title

European Journal of Scientific Research ISSN 1450-216X Vol.15 No.2 , pp. 245-254

Publisher

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Publisher Country

Palestine

Publication Type

Both (Printed and Online)

Volume

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Year

2006

Pages

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