caa a22 4500 475822722 CHVBK 20180406123823.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/BF02508605 doi (NATIONALLICENCE)springer-10.1007/BF02508605 Spatial moments for the nonstationary one-velocity problem of transport theory with isotropic scattering. I. Point instantaneous source [Elektronische Daten] [V. Uchaikin, I. Yarovikova] Equations for the moments of spatial particle distribution in a homogeneous medium with isotropic scattering are derived for the nonstationary one-velocity problem of transport theory. Exact analytical and numerical solutions are found for five even moments (from the second to the tenth one) by the Laplace transform method, and an algorithm for calculating the moments of arbitrary order is described. Convergence to the corresponding moments is investigated in the diffusion approximation for t→∞, and its nonuniform character is established: higher moments differ significantly from the corresponding diffusion moments at any t. The physical causes for such behavior of the moments are discussed. Kluwer Academic/Plenum Publishers, 2000 Uchaikin V. aut Yarovikova I. aut Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/2(2000-02-01), 161-168 1064-8887 43:2<161 2000 43 11182 https://doi.org/10.1007/BF02508605 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02508605 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Uchaikin V. aut NATIONALLICENCE 700 1- Yarovikova I. aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/2(2000-02-01), 161-168 1064-8887 43:2<161 2000 43 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 475822102 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer