NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
General theory of spherically symmetric boundary-value problems of the linear transport theory.A general theory of spherically symmetric boundary-value problems of the one-speed neutron transport theory is presented. The formulation is also applicable to the 'gray' problems of radiative transfer. The Green's function for the purely absorbing medium is utilized in obtaining the normal mode expansion of the angular densities for both interior and exterior problems. As the integral equations for unknown coefficients are regular, a general class of reduction operators is introduced to reduce such regular integral equations to singular ones with a Cauchy-type kernel. Such operators then permit one to solve the singular integral equations by the standard techniques due to Muskhelishvili. We discuss several spherically symmetric problems. However, the treatment is kept sufficiently general to deal with problems lacking azimuthal symmetry. In particular the procedure seems to work for regions whose boundary coincides with one of the coordinate surfaces for which the Helmholtz equation is separable.
Document ID
19720052159
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Kanal, M.
(Massachusetts, University Amherst, Mass., United States)
Date Acquired
August 6, 2013
Publication Date
July 1, 1972
Publication Information
Publication: Journal of Mathematical Physics
Volume: 13
Subject Category
Physics, General
Accession Number
72A35825
Funding Number(s)
CONTRACT_GRANT: NGR-22-010-023
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available