Functional analytic treatment of linear transport equations in kinetic theory and neutron transport theory

The temperature-density equation of Kinetic Theory and the conservative neutron transport equation are studied. In both cases a modified version of the Larsen-Habetler resolvent integration technique is applied to obtain full-range and half-range expansions. For the neutron transport equation the method applied is seen to have notational advantages over previous approaches. In the case of the temperature-density equation this development extends previous results by enlarging the class of expandable functions and has the added advantage of rigor and simplicity. As a natural extension of the Kinetic Theory results, an integral equation for the surface density is derived for half-space problems involving the boundary condition of arbitrary accommodation.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Physics

Department dc:contributor.department

Physics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1978

Author dc:creator

• Cameron, William Lyle

Chair dc:contributor.committeechair

• Zweifel, Paul F.

Committee members dc:contributor.committeemember

• Bowden, Robert L.
• Teplitz, V. L.
• Greenburg, William
• Garbanati, Linda F.

• surface density

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-04072010-020227

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/37568