Spatial effects in the study of nonlinear evolution problems of particle transport theory

Spatial effects in the study of nonlinear evolution problems of particle transport theory

Explicit analytical solutions to a nonlinear spatially inhomogeneous model Boltzmann equation are presented for a physical situation of reference, characterized by constant collision frequencies and scattering probability distributions depending only on the velocity after collision. The results obta...

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Veröffentlicht in:Transp. Theory Stat. Phys.; (United States) 1988-01, Vol.17 (2-3), p.241-255
Hauptverfasser: Boffi, V. C., Spiga, G.
Format: Artikel
Sprache:eng
Schlagworte:
654003 > Radiation & Shielding Physics-- Neutron Interactions with Matter
ANALYTICAL SOLUTION
BOLTZMANN EQUATION
CHARGED-PARTICLE TRANSPORT
DIFFERENTIAL EQUATIONS
DISTRIBUTION
EQUATIONS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NONLINEAR PROBLEMS
NUCLEAR PHYSICS AND RADIATION PHYSICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATION TRANSPORT 654001 > Radiation & Shielding Physics-- Radiation Physics, Shielding Calculations & Experiments
SPATIAL DISTRIBUTION
STOCHASTIC PROCESSES
TRANSPORT THEORY
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Beschreibung
Zusammenfassung:Explicit analytical solutions to a nonlinear spatially inhomogeneous model Boltzmann equation are presented for a physical situation of reference, characterized by constant collision frequencies and scattering probability distributions depending only on the velocity after collision. The results obtained are appropriately commented on physical grounds.
ISSN:0041-1450
1532-2424
DOI:10.1080/00411458808230865