Boundary conditions for streaming operator in a bounded convex body

DOI10.1080/00411458608212725zbMath0617.45010OpenAlexW2013299420MaRDI QIDQ4726840

Luisa Arlotti

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00411458608212725

zbMATH Keywords

closabilitytransport theoryspecular reflectioncollisionless gasstreaming operatorbilliard transformations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies ⋮ Transport semigroup associated to positive boundary conditions of unit norm: a Dyson-Phillips approach ⋮ Spectral analysis of transport equations with bounce-back boundary conditions

Cites Work

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• Solution of the linearized Boltzmann transport equation for the slab geometry
• Streaming operators and semigroups
• A nonlinear problem of evolution arising from radiation transfer theory
• On the spectrum of the linear transport operator in a semi-infinite medium

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