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Existence and Uniqueness Theorems for the Neutron Transport Equation
dc.contributor.authorCase, K. M.en_US
dc.contributor.authorZweifel, Paul Fredericken_US
dc.date.accessioned2010-05-06T21:59:29Z
dc.date.available2010-05-06T21:59:29Z
dc.date.issued1963-11en_US
dc.identifier.citationCase, K. M.; Zweifel, P. F. (1963). "Existence and Uniqueness Theorems for the Neutron Transport Equation." Journal of Mathematical Physics 4(11): 1376-1385. <http://hdl.handle.net/2027.42/70329>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70329
dc.description.abstractIn an attempt to understand the conditions under which the neutron transport equation has solutions, and the properties of those solutions, a number of existence and uniqueness theorems are proved. One finds that the properties of the solution are closely related to the boundedness of the source as well as to certain velocity‐space integrals of the scattering kernel. Both time‐dependent and time‐independent equations are considered as are also the time‐dependent and time‐independent adjoint equations. Although only a very few of all possible existence and uniqueness theorems for these equations are considered here, the work may serve as a guide to the treatment of similar problems.en_US
dc.format.extent3102 bytes
dc.format.extent651656 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleExistence and Uniqueness Theorems for the Neutron Transport Equationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics The University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationumDepartment of Nuclear Engineering The University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70329/2/JMAPAQ-4-11-1376-1.pdf
dc.identifier.doi10.1063/1.1703916en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceK. M. Case, Rev. Mod. Phys. 29, 651 (1957).en_US
dc.identifier.citedreferenceJack E. Olhoeft, “The Doppler Effect for Non‐Uniform Temperatures,” University of Michigan Ph.D. Thesis (1962).en_US
dc.identifier.citedreferenceB. Davison, Neutron Transport Theory (Oxford University Press, London, 1957).en_US
dc.identifier.citedreferenceK. M. Case, F. de Hoffmann, and G. Placzek, Introduction to the Theory of Neutron Diffusion (U.S. Government Printing Office, Washington, D.C., 1953).en_US
dc.owningcollnamePhysics, Department of


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