Milne problem for isotropic and linearly anisotropic scattering for specular and diffuse reflecting boundary conditions solved with the HNmethod

Kerntechnik ◽  
2006 ◽  
Vol 71 (5-6) ◽  
pp. 297-305 ◽  
Author(s):  
Y. Akgün ◽  
F. Erdogan ◽  
C. Tezcan
Keyword(s):  
Boundary Conditions ◽  
Anisotropic Scattering ◽  
Milne Problem

Boundary conditions for gas flow problems from anisotropic scattering kernels

2015 ◽  
Vol 56 (10) ◽  
pp. 103101 ◽  
Author(s):  
Quy-Dong To ◽  
Van-Huyen Vu ◽  
Guy Lauriat ◽  
Céline Léonard
Keyword(s):  
Boundary Conditions ◽  
Gas Flow ◽  
Anisotropic Scattering ◽  
Flow Problems

Two-region Milne problem with anisotropic scattering

2008 ◽  
Vol 35 (9) ◽  
pp. 1701-1707 ◽  
Author(s):  
M.H. Haggag ◽  
A. El-Depsy ◽  
D.A. Gharbiea
Keyword(s):  
Anisotropic Scattering ◽  
Milne Problem

scholarly journals Regularity of Milne problem with geometric correction in 3D

2017 ◽  
Vol 27 (03) ◽  
pp. 453-524 ◽  
Author(s):  
Yan Guo ◽  
Lei Wu
Keyword(s):  
Boundary Conditions ◽  
Transport Equation ◽  
Convex Domain ◽  
Neutron Transport ◽  
Geometric Correction ◽  
Neutron Transport Equation ◽  
Milne Problem ◽  
Diffusive Boundary

Consider the Milne problem with geometric correction in a 3D convex domain. Via bootstrapping arguments, we establish [Formula: see text]-regularity for its solutions. Combined with a uniform [Formula: see text]-estimate, such regularity leads to the validity of diffusive expansion for the neutron transport equation with diffusive boundary conditions.

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