Geometric Correction for Diffusive Expansion of Steady Neutron Transport Equation
arXiv:1404.2583 · doi:10.1007/s00220-015-2315-y
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 $ε$-Milne expansion with geometric correction.
62 pages