Geometric Correction for Diffusive Expansion of Steady Neutron Transport Equation

Abstract

We revisit the diffusive limit of a steady neutron transport equation in a $2$-D unit disk with one-speed velocity. We show the classical result in [4] with Milne expansion is incorrect in $L^{\infty }$ and we give the right answer in studying the $\epsilon$-Milne expansion with geometric correction.

62 pages

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