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

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dc.contributor.authorCameron, William Lyleen
dc.contributor.committeechairZweifel, Paul F.en
dc.contributor.committeememberBowden, Robert L.en
dc.contributor.committeememberTeplitz, V. L.en
dc.contributor.committeememberGreenburg, Williamen
dc.contributor.committeememberGarbanati, Linda F.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2014-03-14T21:10:19Zen
dc.date.adate2010-04-07en
dc.date.available2014-03-14T21:10:19Zen
dc.date.issued1978-01-08en
dc.date.rdate2010-04-07en
dc.date.sdate2010-04-07en
dc.description.abstractThe 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.en
dc.description.degreePh. D.en
dc.format.extentiv, 126 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-04072010-020227en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04072010-020227/en
dc.identifier.urihttp://hdl.handle.net/10919/37568en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1978.C25.pdfen
dc.relation.isformatofOCLC# 40294287en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectsurface densityen
dc.subject.lccLD5655.V856 1978.C25en
dc.titleFunctional analytic treatment of linear transport equations in kinetic theory and neutron transport theoryen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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