Validity and regularization of classical half-space equations

DOI10.1007/S10955-016-1688-4zbMath1367.35176arXiv1606.01311OpenAlexW2411900373MaRDI QIDQ2396605

Qin Li, Weiran Sun, Jian-feng Lu

Publication date: 8 June 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01311

zbMATH Keywords

regularizationneutron transport

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nuclear reactor theory; neutron transport (82D75) PDEs in connection with statistical mechanics (35Q82)

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Cites Work

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• Boundary singularity of moments for the linearized Boltzmann equation
• Asymptotic analysis of transport equation in annulus
• Singularity of the velocity distribution function in molecular velocity space
• Boundary layers and homogenization of transport processes
• Geometric correction for diffusive expansion of steady neutron transport equation
• Geometric correction in diffusive limit of neutron transport equation in 2D convex domains
• Half-space kinetic equations with general boundary conditions
• A classification of well-posed kinetic layer problems
• Singular behaviour of a rarefied gas on a planar boundary

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