The unique solvability of a complex 3D heat transfer problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Kovtanyuk, Andrey E.^1,2  Chebotarev, Alexander Yu.^1,2  Botkin, Nikolai D.³  Hoffmann, Karl-Heinz³ 

[1] Far Eastern Fed Univ, Vladivostok 690950, Russia

[2] Inst Appl Math FEB RAS, Vladivostok 690041, Russia

[3] Tech Univ Munich, Zentrum Math, D-85748 Garching, Germany

关键词: Radiative heat transfer;    Conductive heat transfer;    Convective heat transfer;    Diffusion approximation;   

DOI  :  10.1016/j.jmaa.2013.07.054

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free