Lei Wu, Xiongfeng Yang, Yan Guo
Published 2016-04-04Version 1
We consider the diffusive limit of a steady neutron transport equation with one-speed velocity in a two-dimensional annulus. A classical theorem states that the solution can be approximated in $L^{\infty}$ by the leading order interior solution plus the corresponding Knudsen layers in the diffusive limit. In this paper, we construct a counterexample of this result via a different boundary layer expansion with geometric correction.
Comments: 47 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1404.2583, arXiv:1509.07699
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