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Validity and Regularization of Classical Half-Space Equations
Abstract
© 2016, Springer Science+Business Media New York.Recent result (Wu and Guo in Commun
Math Phys 336(3):1473–1553, 2015) has shown that over the 2D unit disk, the classical
half-space equation (CHS) for the neutron transport does not capture the correct boundary
layer behaviour as long believed. In this paper we develop a regularization technique
for CHS to any arbitrary order and use its first-order regularization to show that
in the case of the 2D unit disk, although CHS misrepresents the boundary layer behaviour,
it does give the correct boundary condition for the interior macroscopic (Laplace)
equation. Therefore CHS is still a valid equation to recover the correct boundary
condition for the interior Laplace equation over the 2D unit disk.
Type
Journal articlePermalink
https://hdl.handle.net/10161/14105Published Version (Please cite this version)
10.1007/s10955-016-1688-4Publication Info
(2017). Validity and Regularization of Classical Half-Space Equations. Journal of Statistical Physics, 166(2). pp. 398-433. 10.1007/s10955-016-1688-4. Retrieved from https://hdl.handle.net/10161/14105.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.
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