Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 339-342
Cet article a éte moissonné depuis la source Math-Net.Ru
We consider the nonlinear Boltzmann equation in the Bhathnagar–Gross–Krook model for the gas flow in a half-space (the Kramers problem). The problem can be exactly linearized, and its solution can be reduced to a linear integral equation with an addition–difference kernel and a simple nonlinear relation.
@article{TMF_2000_125_2_a10,
author = {N. B. Engibaryan and A. Kh. Khachatryan},
title = {Exact linearization of the sliding problem for a dilute gas in the {Bhatnagar{\textendash}Gross{\textendash}Krook} model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {339--342},
year = {2000},
volume = {125},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a10/}
}
TY - JOUR AU - N. B. Engibaryan AU - A. Kh. Khachatryan TI - Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2000 SP - 339 EP - 342 VL - 125 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a10/ LA - ru ID - TMF_2000_125_2_a10 ER -
%0 Journal Article %A N. B. Engibaryan %A A. Kh. Khachatryan %T Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model %J Teoretičeskaâ i matematičeskaâ fizika %D 2000 %P 339-342 %V 125 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a10/ %G ru %F TMF_2000_125_2_a10
N. B. Engibaryan; A. Kh. Khachatryan. Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 339-342. http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a10/
[1] M. N. Kogan, Dinamika razrezhennogo gaza, Nauka, M., 1962
[2] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978
[3] A. V. Latyshev, A. A. Yushkanov, ZhVMiMF, 31:8 (1991), 1201 | MR
[4] E. M. Lifshits, L. P. Pitaevskii, Fizicheskaya kinetika, T. X, Nauka, M., 1979
[5] N. B. Engibaryan, A. Kh. Khachatryan, ZhVMiMF, 38:3 (1998), 466 | MR | Zbl