Integral formulations of stationary transport equations in plane-parallel media

DOI10.1080/00411458708204305zbMath0629.45012OpenAlexW2115472747MaRDI QIDQ3766288

Cornelis V. M. van der Mee

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00411458708204305

zbMATH Keywords

Hilbert spaceboundary value problemscompact operatortransport equationresearch surveyselfadjoint operatorscattering operatorFredholm alternativeequivalence theoryintegral formulationsabstract kinetic equationsemigroup formalism

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Abstract integral equations, integral equations in abstract spaces (45N05) Research exposition (monographs, survey articles) pertaining to integral equations (45-02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized kinetic equations
• Half-range completeness for the Fokker-Planck equation. I
• Boundary value problems in abstract kinetic theory
• Strong solutions of stationary equations in abstract kinetic theory
• Minimal factorization of matrix and operator functions
• Transport theory in \(L_ p\)-spaces
• Indefinite Sturm-Liouville problems and half-range completeness
• Subcriticality for transport of multiplying particles in a slab
• Albedo operators and H-equations for generalized kinetic models
• Kramers problem in the kinetic theory of gases
• An Abstract Model for Radiative Transfer in an Atmosphere with Reflection by the Planetary Surface
• Whither existence theory?
• Factorizations of Transfer Functions
• 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

This page was built for publication: Integral formulations of stationary transport equations in plane-parallel media