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- Title:
The unique solvability of a complex 3D heat transfer problem
- Document type:
- Article
- Author(s):
- Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
- Abstract:
- Conductive-convective-radiative heat transfer in a scattering and absorbing medium with reflecting and radiating boundaries is considered. The P-1 approximation (diffusion model) is used for the simplification of the original problem. The existence of bounded states of the diffusion model is proved. The uniqueness of solutions is established under certain assumptions. (C) 2013 Elsevier Inc. All rights reserved.
- Keywords:
- Radiative heat transfer; Conductive heat transfer; Convective heat transfer; Diffusion approximation
- Journal title:
- J. Math. Anal. Appl.
- Year:
- 2014
- Journal volume:
- 409
- Month:
- JAN 15
- Journal issue:
- 2
- Pages contribution:
- 808-815
- Language:
- English
- Fulltext / DOI:
- doi:10.1016/j.jmaa.2013.07.054
- Publisher:
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Print-ISSN:
- 0022-247X
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