Asymptotic analysis of transport equation in annulus

DOI10.1007/s10955-016-1623-8zbMath1367.82017arXiv1604.00705OpenAlexW2339613414MaRDI QIDQ523197

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 April 2017

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

Full work available at URL: https://arxiv.org/abs/1604.00705

zbMATH Keywords

geometric correctionKnudsen layer\(\epsilon \)-Milne problem

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75)

Related Items (7)

Validity and regularization of classical half-space equations ⋮ Geometric correction in diffusive limit of neutron transport equation in 2D convex domains ⋮ Diffusion asymptotics of a coupled model for radiative transfer in a unit disk ⋮ Diffusive limits of the steady state radiative heat transfer system: boundary layers ⋮ Regularity of Milne problem with geometric correction in 3D ⋮ Diffusive limit of transport equation in 3D convex domains ⋮ Boundary layer of transport equation with in-flow boundary

Cites Work

• Non-isothermal boundary in the Boltzmann theory and Fourier law
• Boundary layers and homogenization of transport processes
• The mathematical theory of dilute gases
• Geometric correction for diffusive expansion of steady neutron transport equation
• Asymptotic theory of the linear transport equation for small mean free paths. I
• Asymptotic Theory of the Linear Transport Equation for Small Mean Free Paths. II
• A functional‐analytic approach to the steady, one‐speed neutron transport equation with anisotropic scattering
• A functional‐analytic derivation of case's full and half‐range formulas

This page was built for publication: Asymptotic analysis of transport equation in annulus