The exact solution of the non-linear system of equations for the energy and nonstationary radiation transfer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 1061-1063
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The law of motion of a heat wave through cold (opaque) matter and the profiles of intensity and temperature behind the wave are obtained for specially chosen boundary conditions and absorption coefficient, ignoring scattering. The solution can be used as a justification of approsimate methods.
@article{ZVMMF_1979_19_4_a28,
author = {G. V. Dumkina and M. Yu. Kozmanov},
title = {The exact solution of~the non-linear system of~equations for the energy and nonstationary radiation transfer},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1061--1063},
year = {1979},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a28/}
}
TY - JOUR AU - G. V. Dumkina AU - M. Yu. Kozmanov TI - The exact solution of the non-linear system of equations for the energy and nonstationary radiation transfer JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 1061 EP - 1063 VL - 19 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a28/ LA - ru ID - ZVMMF_1979_19_4_a28 ER -
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G. V. Dumkina; M. Yu. Kozmanov. The exact solution of the non-linear system of equations for the energy and nonstationary radiation transfer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 1061-1063. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a28/