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Boundary layers and domain decomposition for radiative heat transfer and diffusion equations: Applications to glass manufacturing process. (English) Zbl 0927.45004

The problem of heat transfer, both through radiation and conduction is considered. In many cases, frequently met in applications, it is more appropriate to separate the domains with radiative propagation of heat from the domains with conductive propagation. The gain is especially from the computational point of view, because from the theoretical point of view it introduces many difficulties as: the determination of the domains where the radiation or the dissipation prevail, the conditions at their boundaries, the correct coupling conditions at the interface between the two regions, the asymptotic procedure to derive the diffusion equations and other ones.
All these problems are analyzed by the authors in five chapters, each of them containing many other subchapters. The last two chapters contain applications of the main results to the one-dimensional model problems. A problem in glass manufacturing process is considered.

MSC:

45K05 Integro-partial differential equations
80A20 Heat and mass transfer, heat flow (MSC2010)
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