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Elementary solutions of the transport equation and their applications
dc.contributor.authorCase, Kenneth M.en_US
dc.date.accessioned2006-04-13T15:00:36Z
dc.date.available2006-04-13T15:00:36Z
dc.date.issued1960-01en_US
dc.identifier.citationCase, K. M. (1960/01)."Elementary solutions of the transport equation and their applications." Annals of Physics 9(1): 1-23. <http://hdl.handle.net/2027.42/32430>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6WB1-4DDR57W-14Y/2/f1f04183175b245d33574884b8490348en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/32430
dc.description.abstractA new method of treating problems involving the transport equation is discussed. Starting from Van Kampen's observation that it is sufficient that "solutions" be distributions, the elementary solutions of the homogeneous equation are considered. These are found to have completeness and, in some cases, orthogonality properties which lead to the solution of more interesting problems by a conventional eigenfunction expansion. While the method is illustrated here with the simplest examples of neutron diffusion, it seems to be generally applicable.en_US
dc.format.extent961199 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleElementary solutions of the transport equation and their applicationsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, The University of Michigan, Ann Arbor, Michigan, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/32430/1/0000511.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0003-4916(60)90060-9en_US
dc.identifier.sourceAnnals of Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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