Geometric Correction in Diffusive Limit of Neutron Transport Equation in 2D Convex Domains
Geometric Correction in Diffusive Limit of Neutron Transport Equation in 2D Convex Domains
复制标题
二维凸域中子输运方程扩散极限的几何修正
DOI：
10.1007/s00205-017-1135-y
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发表时间：
2016
影响因子：
2.5
通讯作者：
Lei Wu
中科院分区：
文献类型：
--
作者：
Yan Guo;Lei Wu
考虑具有扩散边界条件的稳态中子输运方程。在Wu和Guo（Commun Math Phys 336：1473-1553，2015）和Wu et al.（J Stat Phys 165：585-644，2016），发现几何校正对于盘或环中的Knudsen层构造的Milne问题是必要的。本文建立了二维凸区域的扩散极限。我们的贡献依赖于新的加权$$${W^{1，\infty}}$$W1，∞估计的几何校正在凸域的存在下的Milne问题，以及$$${L^{2 m}-L^{\infty}}$$$L2 m-L ∞框架，产生更强的剩余估计。
Consider the steady neutron transport equation with diffusive boundary condition. In Wu and Guo (Commun Math Phys 336:1473–1553, 2015) and Wu et al. (J Stat Phys 165:585–644, 2016), 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 the diffusive limit for a 2D convex domain. Our contribution relies on novel weighted $${W^{1,\infty}}$$W1,∞ estimates for the Milne problem with geometric correction in the presence of a convex domain, as well as an $${L^{2m}-L^{\infty}}$$L2m-L∞ framework which yields stronger remainder estimates.
影响因子：
3.1
作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases
通讯作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases