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.
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Anqi Xie (Wed,) studied this question.
synapsesocial.com/papers/69db35be4fe01fead37c43ca — DOI: https://doi.org/10.9734/arjom/2026/v22i41077
Anqi Xie
Asian Research Journal of Mathematics
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