Geodesic
Stationary solutions of the~kinetic Broadwell model
Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 481-488

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a stationary discrete model of the Boltzmann equation for four velocities (the Broadwell model). We obtain new exact automodel solutions of the model corresponding to an incompressible and a compressible gas. We show that one class of solutions satisfies the problem of gas evaporation and condensation on the boundary of a disk and external space. The system turns out to be strongly nonequilibrium, and continuous medium equations are not applicable to it.
Keywords: kinetic Broadwell model, automodel solution. 
@article{TMF_2012_170_3_a11,
     author = {O. V. Ilyin},
     title = {Stationary solutions of the~kinetic {Broadwell} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {481--488},
     publisher = {mathdoc},
     volume = {170},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a11/}
}
TY  - JOUR
AU  - O. V. Ilyin
TI  - Stationary solutions of the~kinetic Broadwell model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 481
EP  - 488
VL  - 170
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a11/
LA  - ru
ID  - TMF_2012_170_3_a11
ER  - 
%0 Journal Article
%A O. V. Ilyin
%T Stationary solutions of the~kinetic Broadwell model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 481-488
%V 170
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a11/
%G ru
%F TMF_2012_170_3_a11
O. V. Ilyin. Stationary solutions of the~kinetic Broadwell model. Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 481-488. http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a11/