A functional‐analytic approach to the steady, one‐speed neutron transport equation with anisotropic scattering

DOI10.1002/cpa.3160270404zbMath0304.45011OpenAlexW2101473252MaRDI QIDQ4059934

Edward W. Larsen

Publication date: 1974

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160270404

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Eigenvalue problems for integral equations (45C05)

Related Items (12)

Geometric correction in diffusive limit of neutron transport equation in 2D convex domains ⋮ Regularity of Milne problem with geometric correction in 3D ⋮ Multigroup neutron transport with degenerate kernel ⋮ Extension of the Case formulas to L p. Application to half and full space problems ⋮ Diffusive limit of transport equation in 3D convex domains ⋮ Diffusive limit with geometric correction of unsteady neutron transport equation ⋮ Asymptotic analysis of transport equation in annulus ⋮ Geometric correction for diffusive expansion of steady neutron transport equation ⋮ Spatial Transients in Finite Volumes ⋮ On eigendistributions in linear transport theory ⋮ Boundary layer of transport equation with in-flow boundary ⋮ Existence and BV-Regularity for Neutron Transport Equation in NonConvex Domain

Cites Work

• Scattering theory, orthogonal polynomials, and the transport equation
• Solution of neutron transport problems inL1

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