This paper focuses on a class of radiation hydrodynamics models where the transport coefficients depend on temperature, investigating in detail the existence of global strong solutions for the initial-boundary value problem. A local existence theory for solutions is established for a fluid model that incorporates radiation effects, with viscosity μ (θ) = θα and thermal conductivity κ (θ) = \ (k\) (1 + θβ), under specific initial conditions. Compared with the work of Wei et al. (2024), the results of the present work have two distinct advantages: first, our proof is time-uniform; second, it does not require higher integrability conditions on the solutions.
Anqi Xie (Wed,) studied this question.