ELEMENTARY SOLUTIONS OF THE TRANSPORT EQUATION AND THEIR APPLICATIONS
Journal Article
·
· Annals of Physics (New York) (U.S.)
A method of treating problems involving the transport equation is discussed. Stanting from Van Kampen's observation that it is sufficient that "solutions" be distributjons, 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 problems by a conventional eigenfunction expansion. The method is illustrated with the simplest examples of neutron diffusion, but it seems to be generally applicable. (auth)
- Research Organization:
- Univ. of Michigan, Ann Arbor
- NSA Number:
- NSA-14-008001
- OSTI ID:
- 4183846
- Journal Information:
- Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 9; ISSN APNYA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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