Radiative Transfer with long-range interactions in the half-space

[摘要] We study the well-posedness and regularity theory for the Radiative Transfer equation in the peaked regime posed in the half-space. An average lemma for the transport equation in the half-space is established and used to generate interior regularity for solutions of the model. The averaging also shows a fractional regularisation gain up to the boundary for the spatial derivatives. (c) 2020 Elsevier Inc. All rights reserved.

[发布日期] 2020-11-05

[关键词] Radiative transfer equation;Initial-boundary value problem;Half-space domain;Average lemma;Uniqueness of solutions