New mathematical results are given for the radiative transfer equations alone and coupled
with the temperature equation of a fluid: existence, uniqueness, a maximum principle, and a …

Radiative transfer is at the heart of the mechanism to explain the greenhouse effect based
on the partial infrared opacity of carbon dioxide, methane and other greenhouse gases in …

In this paper, we study the diffusive limit of the steady state radiative heat transfer system for
non-homogeneous Dirichlet boundary conditions in a bounded domain with flat boundaries …

We consider the diffusion asymptotics of a coupled model arising in radiative transfer in a
unit disk in R 2 with one-speed velocity. The model consists of a kinetic equation satisfied by …

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 …

We develop a Macroscopic Auxiliary Asymptotic-Preserving Neural Network (MA-APNN)
method to solve the time-dependent linear radiative transfer equations (LRTEs), which have …

This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with
curved boundary domain (\textit {two dimensional disk}). The solution constructed in\cite …

In this paper, we study the steady-states of a large class of stationary radiative transfer
equations in a $ C^ 1$ convex bounded domain. Namely, we consider the case in which …

In this paper we study the distribution of the temperature within a body where the heat is
transported only by radiation. Specifically, we consider the situation where both emission …

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 …