|
|||||
|
|
The unique solvability of a complex 3D heat transfer problem |
|
| Authors: | Andrey E Kovtanyuk Alexander Yu Chebotarev Nikolai D Botkin Karl-Heinz Hoffmann |
| Institution: | 1. Far Eastern Federal University, Sukhanova st. 8, 690950, Vladivostok, Russia;2. Institute of Applied Mathematics FEB RAS, Radio str. 7, 690041, Vladivostok, Russia;3. Technische Universität München, Zentrum Mathematik, Boltzmannstr. 3, D-85748 Garching bei München, Germany |
| Abstract: | Conductive–convective–radiative heat transfer in a scattering and absorbing medium with reflecting and radiating boundaries is considered. The P1 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. |
| Keywords: | Radiative heat transfer Conductive heat transfer Convective heat transfer Diffusion approximation |
| 本文献已被 ScienceDirect 等数据库收录！ | |