Validity and Regularization of Classical Half-Space Equations

Loading...
Thumbnail Image

Date

2017-01-01

Journal Title

Journal ISSN

Volume Title

Repository Usage Stats

169
views
125
downloads

Citation Stats

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.

Department

Description

Provenance

Subjects

Citation

Published Version (Please cite this version)

10.1007/s10955-016-1688-4

Publication Info

Li, Q, J Lu and W Sun (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.

Scholars@Duke

Lu

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.


Unless otherwise indicated, scholarly articles published by Duke faculty members are made available here with a CC-BY-NC (Creative Commons Attribution Non-Commercial) license, as enabled by the Duke Open Access Policy. If you wish to use the materials in ways not already permitted under CC-BY-NC, please consult the copyright owner. Other materials are made available here through the author’s grant of a non-exclusive license to make their work openly accessible.