Radiative Transfer in a Fluid

TL;DR

This paper investigates the mathematical properties of radiative transfer equations coupled with fluid temperature dynamics, establishing fundamental theoretical results and providing a numerical illustration of the method's strengths and weaknesses.

Contribution

It presents new existence, uniqueness, and maximum principle results for coupled radiative transfer and fluid temperature equations, along with a numerical analysis.

Findings

Proved existence and uniqueness of solutions.

Established a maximum principle for the coupled system.

Provided numerical insights into the method's effectiveness.

Abstract

We study the Radiative Transfer equations coupled with the time dependent temperature equation of a fluid: existence, uniqueness, a maximum principle are established. A short numerical section illustrates the pros and cons of the method.