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Diffusion limit for the linear boltzmann equation of the neutron transport theory

✍ Scribed by J. Banasiak; J. R. Mika

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
658 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we present the asymptotic analysis of the linear Boltzmann equation for neutrons with a small positive parameter Ο΅ related to the mean free path, based upon the Chapman–Enskog procedure of the kinetic theory. We prove that if proper initial conditions derived by considering initial layer solutions are used, the diffusion equation gives the uniform approximation to the neutron density function with the O(Ο΅^2^) accuracy.

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