Stability of the nonlinear Milne problem for radiative heat transfer system

M Ghattassi, X Huo, N Masmoudi - Archive for Rational Mechanics and …, 2023 - Springer
This paper focuses on the nonlinear Milne problem of the radiative heat transfer system on
the half-space. The nonlinear model is described by a second order ODE for temperature …

Hilbert expansion of a coupled model for radiative transfer in a unit disk: General initial and boundary data

L Li - Kinetic and Related Models, 2024 - aimsciences.org
We consider the diffusion asymptotic of a coupled model arising in radiative transfer in a unit
disk with general initial and boundary data. The model consists of a kinetic equation …

On the temperature distribution of a body heated by radiation

JW Jang, JJL Velázquez - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this paper, we study the temperature distribution of a body when the heat is transmitted
only by radiation. The heat transmitted by convection and conduction is ignored. We …