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- W2104986755 abstract "A compact and unified derivation of transport theory in the time-dependent case is presented. The development is based on the “star-product” which is an extension of that used by Redheffer (2). A “state form” and a corresponding “linearized system” are derived. The former is a system of non-linear integral equations which correspond to the invariant imbedding formulations of Bellman and Kalaba (1). The latter shows that such a system can be linearized. We also show that the right and left linearized equations can be derived from each other. This result is a generalization of a theorem given by Reid (9). The boundary effects on time-dependent transport equations are discussed. The general results are applicable to problems of transmission-line theory, radiative transfer, and neutron transfer in slab geometry. A specific example of the time-dependent problem for particles moving in a rod is given." @default.
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- W2104986755 date "1969-05-01" @default.
- W2104986755 modified "2023-10-18" @default.
- W2104986755 title "Time-dependent transport process" @default.
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- W2104986755 doi "https://doi.org/10.1016/0016-0032(69)00218-3" @default.
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