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Validity and Regularization of Classical Half-Space Equations

Publication ,  Journal Article
Li, Q; Lu, J; Sun, W
Published in: Journal of Statistical Physics
January 1, 2017

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.

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Published In

Journal of Statistical Physics

DOI

ISSN

0022-4715

Publication Date

January 1, 2017

Volume

166

Issue

2

Start / End Page

398 / 433

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Li, Q., Lu, J., & Sun, W. (2017). Validity and Regularization of Classical Half-Space Equations. Journal of Statistical Physics, 166(2), 398–433. https://doi.org/10.1007/s10955-016-1688-4
Li, Q., J. Lu, and W. Sun. “Validity and Regularization of Classical Half-Space Equations.” Journal of Statistical Physics 166, no. 2 (January 1, 2017): 398–433. https://doi.org/10.1007/s10955-016-1688-4.
Li Q, Lu J, Sun W. Validity and Regularization of Classical Half-Space Equations. Journal of Statistical Physics. 2017 Jan 1;166(2):398–433.
Li, Q., et al. “Validity and Regularization of Classical Half-Space Equations.” Journal of Statistical Physics, vol. 166, no. 2, Jan. 2017, pp. 398–433. Scopus, doi:10.1007/s10955-016-1688-4.
Li Q, Lu J, Sun W. Validity and Regularization of Classical Half-Space Equations. Journal of Statistical Physics. 2017 Jan 1;166(2):398–433.
Journal cover image

Published In

Journal of Statistical Physics

DOI

ISSN

0022-4715

Publication Date

January 1, 2017

Volume

166

Issue

2

Start / End Page

398 / 433

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences