Geodesic
Biflow distribution with screw modes
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 283-300 
V. D. Gordevskii. Biflow distribution with screw modes. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 283-300. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a9/
@article{TMF_2001_126_2_a9,
     author = {V. D. Gordevskii},
     title = {Biflow distribution with screw modes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {283--300},
     year = {2001},
     volume = {126},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a9/}
}
TY  - JOUR
AU  - V. D. Gordevskii
TI  - Biflow distribution with screw modes
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2001
SP  - 283
EP  - 300
VL  - 126
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a9/
LA  - ru
ID  - TMF_2001_126_2_a9
ER  - 
%0 Journal Article
%A V. D. Gordevskii
%T Biflow distribution with screw modes
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2001
%P 283-300
%V 126
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a9/
%G ru
%F TMF_2001_126_2_a9

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

A bimodal distribution is constructed for the rigid-sphere model in the form of a linear combination of stationary nonhomogeneous Maxwellians. It describes the interaction between two gas flows that are in rotational motion about fixed axes and in translational motion along them. Limiting cases are found in which this distribution minimizes the uniform integrated discrepancy between the parts of the Boltzmann equation.

[1] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978

[2] T. Karleman, Matematicheskie zadachi kineticheskoi teorii gazov, IIL, M., 1960 | MR

[3] R. S. Krupp, Magister Sciences Thesis, MiT, 1967

[4] A. V. Bobylev, DAN SSSR, 225:6 (1975), 1296 | MR | Zbl

[5] A. V. Bobylev, DAN SSSR, 231:3 (1976), 571 | MR | Zbl

[6] M. Krook, T. Wu, Phys. Fluids, 20:10(1) (1977), 1589 | DOI | Zbl

[7] A. A. Nikolskii, DAN SSSR, 151:2 (1963), 299 | Zbl

[8] E. Ikenberry, C. Truesdall, Ration. Mech. Anal., 5:1 (1956), 1 | MR | Zbl

[9] V. S. Galkin, Prikl. matem. i mekh., 20:3 (1956), 445 | MR

[10] H. M. Ernst, J. Stat. Phys., 34:5/6 (1984), 1001 | DOI | MR | Zbl

[11] A. V. Bobylev, DAN SSSR, 256:6 (1981), 1341 | MR | Zbl

[12] V. V. Vedenyapin, DAN SSSR, 256:2 (1981), 338 | MR

[13] D. Ya. Petrina, A. V. Mischenko, DAN SSSR, 298:2 (1988), 338 | MR | Zbl

[14] A. V. Mischenko, D. Ya. Petrina, TMF, 77:1 (1988), 135 | MR

[15] V. D. Gordevskii, Matem. fiz., analiz, geom., 2:2 (1995), 168 | MR | Zbl

[16] V. D. Gordevskii, Matem. fiz., analiz, geom., 4:1/2 (1997), 46 | MR | Zbl

[17] V. D. Gordevskii, TMF, 114:1 (1998), 126 | DOI | MR | Zbl

[18] V. D. Gordevskii, “Nekotorye klassy priblizhennykh bimodalnykh reshenii nelineinogo uravneniya Boltsmana”, Integralnye preobrazovaniya i ikh primenenie k kraevym zadacham, no. 16, ed. M. P. Lenyuk, Institut matematiki NAN Ukrainy, Kiev, 1997, 54 (na ukr. yaz.)

[19] V. D. Gordevsky, Math. Meth. Appl. Sci., 21 (1998), 1479 | 3.0.CO;2-I class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR