Asymptotic Analysis of Transport Equation in Annulus

Abstract

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.

47 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1404.2583, arXiv:1509.07699

References in corpus (1)

• Geometric Correction for Diffusive Expansion of Steady Neutron Transport Equation

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