A generalized transport equation

DOI10.1080/00411458208245740zbMath0527.47033OpenAlexW2072227804WikidataQ126243997 ScholiaQ126243997MaRDI QIDQ3308623

Paul F. Zweifel

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00411458208245740

zbMATH Keywords

generalized transport equationAlbedo operatorfull range completenesshalf-space boundary value problemselfadjoint, strictly positive operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Transport processes in time-dependent statistical mechanics (82C70) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10)

Related Items (11)

Whither existence theory? ⋮ Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory ⋮ A transport equation for relativistic particles ⋮ Exact solution of a boundary value problem in semiconductor kinetic theory ⋮ A note on the singular eigenfunction method in transport theory ⋮ Transport theory revisited - 1960–1995 (A case history) ⋮ Some comments on case eigenfunctions ⋮ Solutions of singular integral equations from gas dynamics and plasma physics ⋮ Half-space problem of the Boltzmann equation for charged particles ⋮ Generalized kinetic equations ⋮ Abstract kinetic equations relevant to supercritical media

Cites Work

• Elementary solutions of the transport equation and their applications
• Abstract kinetic equations relevant to supercritical media
• An abstract treatment of some forward-backward problems of transport and scattering
• Elementary solutions of coupled model equations in the kinetic theory of gases
• Partial-range completeness and existence of solutions to two-way diffusion equations
• The Case eigenfunction expansion for a conservative medium
• Linear analysis and solution of neutron transport problems
• Decompositions of a Hilbert Space and Factorization of a W–A Determinant
• A functional‐analytic derivation of case's full and half‐range formulas
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