Asian Research Journal of Mathematics

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) = θ^α and thermal conductivity κ(θ) = \(\tilde{k}\)(1 + θ^β), 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.