A stationary criticality problem in general \(L_ p\)-space for energy dependent neutron transport in cylindrical geometry

DOI10.1007/BF00947930zbMath0547.45001OpenAlexW2006458426MaRDI QIDQ798916

Giovanni Borgioli, Giovanni Frosali

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00947930

zbMATH Keywords

eigenvalue problemisotropic scatteringRiesz operatorpositive eigenfunctioncriticality problemenergy-dependent neutron transport integral equation

Mathematics Subject Classification ID

Statistical mechanics of ferroelectrics (82D45) Transport processes in time-dependent statistical mechanics (82C70) Linear operators on ordered spaces (47B60) Eigenvalue problems for integral equations (45C05)

Related Items (3)

Comparison of the critical eigenvalues for integral neutron transport equations in different geometries ⋮ Polarized light transfer above a reflecting surface ⋮ Criticality transport problems for spherical systems with specular type boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Criticality problems for slabs and spheres and energy dependent neutron transport theory
• On criticality problems in energy dependent neutron transport theory
• Subcriticality for transport of multiplying particles in a slab
• Linearized Boltzmann equation in \(L^ 1\) space
• Über Bernoullische Zahlen in reell-quadratischen Zahlkörpern

This page was built for publication: A stationary criticality problem in general \(L_ p\)-space for energy dependent neutron transport in cylindrical geometry