Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 693-701
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P. P. Volosevich; N. A. Dar'in; E. I. Levanov. The problem of a piston moving in a gas with energy sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 693-701. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a16/
@article{ZVMMF_1983_23_3_a16,
author = {P. P. Volosevich and N. A. Dar'in and E. I. Levanov},
title = {The problem of a piston moving in a gas with energy sources},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {693--701},
year = {1983},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a16/}
}
TY - JOUR
AU - P. P. Volosevich
AU - N. A. Dar'in
AU - E. I. Levanov
TI - The problem of a piston moving in a gas with energy sources
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 693
EP - 701
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a16/
LA - ru
ID - ZVMMF_1983_23_3_a16
ER -
%0 Journal Article
%A P. P. Volosevich
%A N. A. Dar'in
%A E. I. Levanov
%T The problem of a piston moving in a gas with energy sources
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 693-701
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a16/
%G ru
%F ZVMMF_1983_23_3_a16
The process of compressing a gas by a flat piston, assuming that the velocity of the piston is a power function of time, is analyzed. The initial gas density $\rho$ is distributed in the space as $\rho=\rho_1m^l$, where $m$ is the mass Lagrangian variable. The processes of energy release in the medium are modelled by a non-linear source in the energy equation in the form of a power function of temperature and density.
