Eigenvalues of the neutron transport equation in X–Y geometry and reflecting boundary conditions

2022 ◽  
Vol 144 ◽  
pp. 104061
Author(s):  
F.S. de Azevedo ◽  
E. Sauter ◽  
G.A. Lorensi ◽  
A.P.G. Mocellin
Keyword(s):  
Boundary Conditions ◽  
Transport Equation ◽  
Neutron Transport ◽  
Neutron Transport Equation

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.

High-Dimensional Model Representations for the Neutron Transport Equation

2014 ◽  
Vol 177 (3) ◽  
pp. 350-360 ◽  
Author(s):  
Zhengzheng Hu ◽  
Ralph C. Smith ◽  
Jeffrey Willert ◽  
C. T. Kelley
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
High Dimensional ◽  
Dimensional Model ◽  
Neutron Transport Equation
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