Diffusion approximation and computation of the critical size

Bardos, C.; Santos, R.; Sentis, R.

doi:10.1090/S0002-9947-1984-0743736-0

Diffusion approximation and computation of the critical size
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by C. Bardos, R. Santos and R. Sentis PDF

Trans. Amer. Math. Soc. 284 (1984), 617-649 Request permission

Abstract:

This paper is devoted to the mathematical definition of the extrapolation length which appears in the diffusion approximation. To obtain this result, we describe the spectral properties of the transport equation and we show how the diffusion approximation is related to the computation of the critical size. The paper also contains some simple numerical examples and some new results for the Milne problem.

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