Geodesic
Interaction of locally Maxwellian flows in the model of rough spheres
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 2, pp. 322-336

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

We construct new approximate explicit solutions of the nonlinear kinetic Bryan–Pidduck equation. They have the form of linear combinations of two local Maxwellians of the "accelerating–packing" type and minimize the uniform-integral weighted residual between the sides of the equation.
Keywords: Bryan–Pidduck equation, approximate explicit solution, accelerating packing, weighted residual. 
V. D. Gordevskii; A. A. Gukalov. Interaction of locally Maxwellian flows in the model of rough spheres. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 2, pp. 322-336. http://geodesic.mathdoc.fr/item/TMF_2013_176_2_a7/
@article{TMF_2013_176_2_a7,
     author = {V. D. Gordevskii and A. A. Gukalov},
     title = {Interaction of locally {Maxwellian} flows in the~model of rough spheres},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {322--336},
     year = {2013},
     volume = {176},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_2_a7/}
}
TY  - JOUR
AU  - V. D. Gordevskii
AU  - A. A. Gukalov
TI  - Interaction of locally Maxwellian flows in the model of rough spheres
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2013
SP  - 322
EP  - 336
VL  - 176
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2013_176_2_a7/
LA  - ru
ID  - TMF_2013_176_2_a7
ER  - 
%0 Journal Article
%A V. D. Gordevskii
%A A. A. Gukalov
%T Interaction of locally Maxwellian flows in the model of rough spheres
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2013
%P 322-336
%V 176
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2013_176_2_a7/
%G ru
%F TMF_2013_176_2_a7

[1] G. H. Bryan, Rep. Brit. Assoc. Adv. Sci., 64 (1894), 102–106

[2] F. B. Pidduck, Proc. R. Soc. Lond. A, 101:708 (1922), 101–112 | DOI

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

[4] C. Cercignani, M. Lampic, J. Statist. Phys., 53:3–4 (1988), 655–672 | DOI | MR | Zbl

[5] V. D. Gordevskyy, Math. Meth. Appl. Sci., 23:13 (2000), 1121–1137 | 3.0.CO;2-A class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR

[6] V. D. Gordevskii, A. A. Gukalov, Ukr. matem. zhurn., 63:5 (2011), 629–639 | MR | Zbl

[7] V. D. Gordevskii, Dokl. NAN Ukrainy. Ser. Matem., estestvoznanie i tekhn. nauki, 11 (2009), 13–16 | MR

[8] V. D. Gordevskyy, N. V. Andriyasheva, Zhurn. matem. fiz., anal., geom., 1:5 (2009), 38–53 | MR

[9] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978 | MR | MR

[10] V. D. Gordevskii, A. A. Gukalov, Vestn. Khark. un-ta. Ser. Matem., prikl. matem. i mekhan., 990:64 (2011), 27–41 | Zbl

[11] V. D. Gordevskii, TMF, 126:2 (2001), 283–300 | DOI | DOI | MR | Zbl