DIFFUSION ASYMPTOTICS OF A STEADY COUPLED MODEL FOR RADIATIVE TRANSFER IN A UNIT BALL

doi:10.1007/s10473-025-0404-3

Abstract

Abstract: We consider the diffusion asymptotics of a coupled model arising in radiative transfer in a unit ball in $\mathbb{R}^{3}$ with one-speed velocity. The model consists of a steady kinetic equation satisfied by the specific intensity of radiation coupled with a nonhomogeneous elliptic equation satisfied by the material temperature. For the $O(\epsilon)$ boundary data of the intensity of the radiation and the suitable small boundary data of the temperature, we prove the existence, uniqueness and the nonequilibrium diffusion limit of solutions to the boundary value problem for the coupled model.

Key words: radiative transfer, diffusion approximation, asymptotic analysis, unit ball

Lei LI, Zhengce ZHANG. DIFFUSION ASYMPTOTICS OF A STEADY COUPLED MODEL FOR RADIATIVE TRANSFER IN A UNIT BALL[J].Acta mathematica scientia,Series B, 2025, 45(4): 1284-1306.

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