Variational principles of the linear kinetic theory of a gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 570-585
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Slow flows of a monatomic rarified gas which interacts with the surface of a solid according to a general law are considered. A functional is constructed, the Euler equations of which are linear kinetic equations with natural boundary conditions. The functional is the difference between the doubled power of the internal forces of the medium and the entropy production. The minimax nature of the extremum of the new functional is established.
@article{ZVMMF_1990_30_4_a8,
author = {A. M. Bishaev and V. A. Rykov},
title = {Variational principles of the linear kinetic theory of a~gas},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {570--585},
publisher = {mathdoc},
volume = {30},
number = {4},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a8/}
}
TY - JOUR AU - A. M. Bishaev AU - V. A. Rykov TI - Variational principles of the linear kinetic theory of a gas JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 570 EP - 585 VL - 30 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a8/ LA - ru ID - ZVMMF_1990_30_4_a8 ER -
A. M. Bishaev; V. A. Rykov. Variational principles of the linear kinetic theory of a gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 570-585. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a8/