Kenneth Case and his Singular “Eigenfunctions”

DOI10.1080/00411450.2012.671225zbMath1268.82038OpenAlexW2320283205MaRDI QIDQ5299765

Paul F. Zweifel

Publication date: 21 June 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2012.671225

zbMATH Keywords

kinetic theorytransport theory

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) History of statistical mechanics (82-03)

Related Items (2)

Biographical Memoir of Ken Case ⋮ Variance reduction method for particle transport equation in spherical geometry

Cites Work

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• Elementary solutions of the transport equation and their applications
• Plasma oscillations
• Boundary value problems in abstract kinetic theory
• Orthogonality of Case's eigenfunctions in one-speed transport theory
• Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
• Partial-range completeness and existence of solutions to two-way diffusion equations
• Solution of neutron transport problems inL1
• A functional‐analytic derivation of case's full and half‐range formulas

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