The $H$-theorem and Onsager principle for the stationary Boltzmann's equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 954-964
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Using the kinetic approach, an expression is obtained for the generation of entropy in the problem of external flow past a body. Using the linear Boltzmann equation and the boundary conditions satisfying the reciprocity conditions, the symmetry (the Onsager principle) of the kinetic coefficients in flows is proved.
@article{ZVMMF_1983_23_4_a18,
author = {A. M. Bishaev and V. A. Rykov},
title = {The $H$-theorem and {Onsager} principle for the stationary {Boltzmann's} equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {954--964},
publisher = {mathdoc},
volume = {23},
number = {4},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/}
}
TY - JOUR AU - A. M. Bishaev AU - V. A. Rykov TI - The $H$-theorem and Onsager principle for the stationary Boltzmann's equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 954 EP - 964 VL - 23 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/ LA - ru ID - ZVMMF_1983_23_4_a18 ER -
%0 Journal Article %A A. M. Bishaev %A V. A. Rykov %T The $H$-theorem and Onsager principle for the stationary Boltzmann's equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 954-964 %V 23 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/ %G ru %F ZVMMF_1983_23_4_a18
A. M. Bishaev; V. A. Rykov. The $H$-theorem and Onsager principle for the stationary Boltzmann's equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 954-964. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/