A rigorous derivation of some invariant imbedding equations of transport theory

DOI10.1016/0022-247X(64)90091-5zbMath0186.58503MaRDI QIDQ2536963

Paul. B. Bailey

Publication date: 1964

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationtransport theoryinvariant imbedding equations

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Boltzmann equations (35Q20)

Related Items (11)

Some Recent Developments in Invariant Imbedding with Applications ⋮ Radiative Transfer in Spherical Shell Atmospheres with Radial Symmetry ⋮ Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory ⋮ Degenerate riccati equations with unbounded coefficients arising in transport theory ⋮ A numerically stable spherical harmonics solution for the neutron transport equation in a spherical shell ⋮ Invariant imbedding and transport problems with internal sources ⋮ Invariant imbedding and radiative transfer in spherical shells ⋮ Generalized invariant imbedding of transport theory ⋮ A correction to some invariant imbedding equation of transport theory obtained by 'particle counting' ⋮ A note on the computation of diffuse reflection functions for spherical shells ⋮ Invariant imbedding and the reduction of boundary-value problems of thin plate theory to Cauchy formulations

Cites Work

• ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING, I
• Invariant Imbedding and Mathematical Physics. I. Particle Processes
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