English

The radiative transport equation in flatland with separation of variables

Mathematical Physics 2016-08-03 v2 math.MP

Abstract

The linear Boltzmann equation can be solved with separation of variables in one dimension, i.e., in three-dimensional space with planar symmetry. In this method, solutions are given by superpositions of eigenmodes which are sometimes called singular eigenfunctions. In this paper, we explore the singular-eigenfunction approach in flatland or two-dimensional space.

Keywords

Cite

@article{arxiv.1511.05723,
  title  = {The radiative transport equation in flatland with separation of variables},
  author = {Manabu Machida},
  journal= {arXiv preprint arXiv:1511.05723},
  year   = {2016}
}