Some spectral properties of the neutron transport operator in bounded geometries

DOI10.1080/00411458708204600zbMath0631.47001OpenAlexW2129582601MaRDI QIDQ3767880

Mustapha Mokhtar-Kharroubi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00411458708204600

zbMATH Keywords

principal eigenvaluepoint spectrumbounded partneutron transport operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (8)

Domain derivative of the leading eigenvalue of a model transport operator ⋮ Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies ⋮ Description of the real point spectrum for a class of neutron transport operators ⋮ The discrete eigenvalues for a class of integro-differential operators (II) ⋮ Quelques applications de la positivité en théorie du transport ⋮ Spectral Theory for Neutron Transport ⋮ On the stochastic nonlinear neutron transport equation ⋮ On the spectrum of the transport operator with abstract boundary conditions in slab geometry

Cites Work

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• Spectral properties of the neutron transport equation
• Spectral methods in linear transport theory
• On the spectrum of neutron transport equation in finite bodies
• Über Anfangs- und Eigenwertprobleme aus der Neutronentransporttheorie
• An asymptotic expansion in the theory of neutron transport
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

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