Existence and Uniqueness Theorems for the Neutron Transport Equation
dc.contributor.author | Case, K. M. | en_US |
dc.contributor.author | Zweifel, Paul Frederick | en_US |
dc.date.accessioned | 2010-05-06T21:59:29Z | |
dc.date.available | 2010-05-06T21:59:29Z | |
dc.date.issued | 1963-11 | en_US |
dc.identifier.citation | Case, 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.uri | https://hdl.handle.net/2027.42/70329 | |
dc.description.abstract | In 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.extent | 3102 bytes | |
dc.format.extent | 651656 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Existence and Uniqueness Theorems for the Neutron Transport Equation | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Physics The University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Nuclear Engineering The University of Michigan, Ann Arbor, Michigan | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70329/2/JMAPAQ-4-11-1376-1.pdf | |
dc.identifier.doi | 10.1063/1.1703916 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
dc.identifier.citedreference | K. M. Case, Rev. Mod. Phys. 29, 651 (1957). | en_US |
dc.identifier.citedreference | Jack E. Olhoeft, “The Doppler Effect for Non‐Uniform Temperatures,” University of Michigan Ph.D. Thesis (1962). | en_US |
dc.identifier.citedreference | B. Davison, Neutron Transport Theory (Oxford University Press, London, 1957). | en_US |
dc.identifier.citedreference | K. 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.owningcollname | Physics, Department of |
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