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This is a Quantitative Study study.

Equilibrium and non-equilibrium diffusion approximation for the radiative transfer equation

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The study reveals how temperature distribution is affected by heat transport due to radiation.
Using matched asymptotic expansions, different scaling limits lead to distinct diffusion approximations.
This approach addresses both stationary and time-dependent problems in radiative transfer analysis.
Boundary and initial layers are identified, suggesting complex behaviors in the diffusion regime.

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Analysis of temperature distribution under radiative heat transport in equilibrium and non-equilibrium states.

Demattè et al. (2025) studied this question.

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