Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 954-964
Citer cet article
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/
@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},
year = {1983},
volume = {23},
number = {4},
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
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
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a18/
%G ru
%F ZVMMF_1983_23_4_a18
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.