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arXiv · 1511.05723

The radiative transport equation in flatland with separation of variables

Manabu Machida
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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.

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Manabu Machida. 2016-07-17. The radiative transport equation in flatland with separation of variables. https://doi.org/10.1063/1.4958976

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