Boundedness, continuity, positivity and dominance of the solution of the neutron Boltzmann equation

DOI10.1007/BF02128914zbMath0233.45031OpenAlexW2089938698MaRDI QIDQ2551222

Francesco Premuda

Publication date: 1971

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02128914

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Qualitative behavior of solutions to integral equations (45M99)

Related Items

A solution of the stationary transport equation in plane geometry ⋮ Some applications of functional analysis to problems of neutron transport ⋮ Classical and accelerated evaluation of neutron escape probability ⋮ Integral formulation for a steady‐state transport process with general boundary conditions ⋮ Dominant critical eigenfunction and Neumann series convergence for inhomogeneous slabs and spheres in integral neutron transport ⋮ Transport theory of a totally reflected parallelepiped reactor ⋮ Functional methods in three-dimensional neutron transport theory ⋮ Boundedness, continuity, positivity and dominance of the solution of the neutron Boltzmann equation ⋮ Application of extended kinetic theory to particle transport with inelastic scattering

Cites Work

• A Riemann-Hilbert boundary value problem in neutron transport theory
• Solution to the Boltzmann equation for monoenergetic neutrons in a slab
• Boundedness, continuity, positivity and dominance of the solution of the neutron Boltzmann equation
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• GREEN'S FUNCTIONS FOR ONE-VELOCITY NEUTRON TRANSPORT IN A ONE-DIMENSIONAL SLAB AND SPHERE
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