Construction of hydrodynamic asymptotics of the classical equilibrium correlation Green's functions by means of the Boltzmann equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 117-132
G. O. Balabanyan. Construction of hydrodynamic asymptotics of the classical equilibrium correlation Green's functions by means of the Boltzmann equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 117-132. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a12/
@article{TMF_1990_82_1_a12,
     author = {G. O. Balabanyan},
     title = {Construction of~hydrodynamic asymptotics of~the classical equilibrium correlation {Green's} functions by~means of~the {Boltzmann} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {117--132},
     year = {1990},
     volume = {82},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a12/}
}
TY  - JOUR
AU  - G. O. Balabanyan
TI  - Construction of hydrodynamic asymptotics of the classical equilibrium correlation Green's functions by means of the Boltzmann equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 117
EP  - 132
VL  - 82
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a12/
LA  - ru
ID  - TMF_1990_82_1_a12
ER  - 
%0 Journal Article
%A G. O. Balabanyan
%T Construction of hydrodynamic asymptotics of the classical equilibrium correlation Green's functions by means of the Boltzmann equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 117-132
%V 82
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a12/
%G ru
%F TMF_1990_82_1_a12

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

Boltzmann's equation in the Navier–Stokes and Burnett approximations is used to obtain asymptotic expressions for the classical equilibrium correlation density–density, flux–flux, etc., Green's functions, and their spectral intensities are found.

[1] Balabanyan G. O., TMF, 80:1 (1989), 118–137 | MR

[2] Bogolyubov N. N., K voprosu o gidrodinamike sverkhtekuchei zhidkosti, Preprint R-1395, OIYaI, Dubna, 1963; Боголюбов Н. Н., Избранные труды, Т. 3, Наукова думка, Киев, 1971, С. 244–281 | MR

[3] Bogolyubov N. N. (ml.), Sadovnikov B. I., Nekotorye voprosy statisticheskoi mekhaniki, Vysshaya shkola, M., 1975 | MR

[4] Kadanoff L. P., Martin P. S., Ann. Phys., 24:3 (1963), 419–469 | DOI | MR | Zbl

[5] Forster D., Gidrodinamicheskie fluktuatsii, narushennaya simmetriya i korrelyatsionnye funktsii, Atomizdat, M., 1980

[6] Fertsiger Dzh., Kaper G., Matematicheskaya teoriya protsessov perenosa v gazakh, Mir, M., 1976

[7] Chepmen S., Kauling T., Matematicheskaya teoriya neodnorodnykh gazov, IL, M., 1960 | MR

[8] Valdman L., “Yavlenie perenosa v gazakh pri srednem davlenii”, Termodinamika gazov, Mashinostroenie, M., 1970, 169–414 | MR

[9] Sadovnikov B. I., DAN SSSR, 164:5 (1965), 1023–1027

[10] Balesku R., Ravnovesnaya i neravnovesnaya statisticheskaya mekhanika, T. 1, 2, Mir, M., 1978 | MR

[11] Postnikov M. M., Ustoichivye mnogochleny, Nauka, M., 1981 | MR

[12] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR

[13] G. Kammins, E. Paik (red.), Spektroskopiya opticheskogo smesheniya i korrelyatsii fononov, Mir, M., 1978

[14] Bonch-Bruevich V. L., Tyablikov S. V., Metod funktsii Grina v statisticheskoi mekhanike, Fizmatgiz, M., 1961 | MR