## Publication 145

*Geometric Correction in Diffusive Limit
of Neutron Transport Equation in 2D Convex Domains*

##### Authors:

##### Abstract:

Consider the steady neutron transport equation with diffusive boundary condition. In [17] and [18], it was discovered that geometric correction is necessary for the Milne problem of Knudsen-layer construction in a disk or annulus. In this paper, we establish diffusive limit for a 2D convex domain. Our contribution relies on novel weighted $W^{1,\infty}$ estimates for the Milne problem with geometric correction in the presence of a convex domain, as well as an $L^{2m}$-$L^\infty$ framework which yields stronger remainder estimates.##### Get the paper in its entirety

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