Radiative Transfer with long-range interactions in the half-space
Analysis of PDEs
2020-08-11 v1 Mathematical Physics
math.MP
Abstract
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 stablished and used to generate interior regularity for solutions of the model. The averaging also shows a fractional regularization gain up to the boundary for the spatial derivatives.
Keywords
Cite
@article{arxiv.1910.01207,
title = {Radiative Transfer with long-range interactions in the half-space},
author = {Ricardo Alonso and Edison Cuba},
journal= {arXiv preprint arXiv:1910.01207},
year = {2020}
}
Comments
30 pages