Geometric Correction in Diffusive Limit of Neutron Transport Equation in 2d Convex Domains
نویسندگان
چکیده
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,∞ estimates for the Milne problem with geometric correction in the presence of a convex domain, as well as an L2m−L∞ framework which yields stronger remainder estimates.
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