29 citations · 135 across the 36 of their papers we have counts for
Showing 2015 · math-phShow all
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math-ph2015★ 10 cited
The radiative transport equation in flatland with separation of variables
Manabu Machida
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 give…
math-ph2015
Three-dimensional transport theory via one-dimensional transport theory
Manabu Machida
In linear transport theory, three-dimensional equations reduce to one-dimensional equations by means of rotated reference frames. In this paper, we illustrate how the technique wor…
math-ph2015★ 12 cited
The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform
Manabu Machida
The linear Boltzmann equation with constant coefficients in the three-dimensional infinite space is revisited. It is known that the Green's function can be calculated via the Fouri…