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<p>We consider the diffusion asymptotics of a coupled model arising in radiative transfer in a unit ball in ℝ<sup>3</sup> 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 <i>O</i>(<i>ϵ</i>) 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.</p>

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Diffusion asymptotics of a steady coupled model for radiative transfer in a unit ball

  • 期刊论文

  • 发表日期：

    2025年4月8日

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  • Lei Li,
  • Zhengce Zhang

摘要

We consider the diffusion asymptotics of a coupled model arising in radiative transfer in a unit ball in ℝ3 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(ϵ) 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.