Problem of radiation heat exchange with boundary conditions of the Cauchy type

In this paper, a quasi-static problem of radiative-conductive heat exchange in a three-dimensional domain is considered in the framework of diffusion P-1 approximation of the radiation transfer equation. The peculiarity of the problem statement is that the boundary values for the radiation intensity are not prescribed. Instead of that, the heat flux is additionally prescribed for the temperature field on the boundary. The unique, nonlocal in time, solvability of the problem is proven. Theoretical results are illustrated by numerical examples. (C) 2019 Published by Elsevier B.V.     «

In this paper, a quasi-static problem of radiative-conductive heat exchange in a three-dimensional domain is considered in the framework of diffusion P-1 approximation of the radiation transfer equation. The peculiarity of the problem statement is that the boundary values for the radiation intensity are not prescribed. Instead of that, the heat flux is additionally prescribed for the temperature field on the boundary. The unique, nonlocal in time, solvability of the problem is proven. Theoretica...     »