An initial value problem in three-dimensional integral neutron transport theory

DOI10.1080/00411457608230828zbMath0332.45005OpenAlexW2123786176WikidataQ126241943 ScholiaQ126241943MaRDI QIDQ4098179

Vinicio C. Boffi, Giampiero Spiga

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00411457608230828

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05)

Cites Work

• Solution of the linearized Boltzmann transport equation for the slab geometry
• On the spectrum of neutron transport equation in finite bodies
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• An asymptotic expansion in the theory of neutron transport
• On the real spectrum of a mono-energetic neutron transport operator
• Linear integral transformations generated by the three-dimensional neutron transport kernel
• Neutron Transport in a Nonuniform Slab with Generalized Boundary Conditions
• Convergence in the mean of solutions to the neutron integral Boltzmann equation in three-dimensional systems
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
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