Fundamental solutions for the anisotropic neutron transport equation

DOI10.1017/S0308210500010659zbMath0407.45018OpenAlexW2160706007MaRDI QIDQ4193925

Joseph G. Conlon

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500010659

zbMATH Keywords

DistributionsFourier TransformsEigenfunction ExpansionFundamental SolutionExistence of Harmonic SolutionsMultidimensional Transport SolutionsN-Dimensional Stationary Transport Equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Statistical mechanics of ferroelectrics (82D45) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (3)

Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport ⋮ A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis

Cites Work

• Elementary solutions of the transport equation and their applications
• A singular eigenfunction expansion in anisotropic transport theory
• Harmonic solutions of transport equations
• Exact analytic solutions of transport equations
• On the real spectrum of a mono-energetic neutron transport operator
• Scattering theory, orthogonal polynomials, and the transport equation
• The Eigenvalues of an Integral Equation in Anistotropic Neutron Transport Theory
• A functional‐analytic derivation of case's full and half‐range formulas

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