Geodesic
Analytical solution of the kinetic equation in the problem
Matematičeskoe modelirovanie, Tome 16 (2004) no. 11, pp. 61-76.

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

The exact solution of the BGK analog for the kinetic equation for the dotty radiant or a particle emitter in the polyatomic gas is given. The analysis of an energy and temperature assignment for progressive and rotative degrees of freedom of molecules under their separate drive is conducted. As an application studied the question of the heat defocus of the laser beam. Approved that in a case when the effective radius of beam's section is congruous with the length of the free run of gas molecules, the deviation angle of a peripheral beam can overshoot the account, calculated in gasodynamic mode twicefold or more. 
@article{MM_2004_16_11_a5,
     author = {S. A. Savkov and A. A. Yushkanov and Yu. I. Yalamov},
     title = {Analytical solution of the kinetic equation in the problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {61--76},
     publisher = {mathdoc},
     volume = {16},
     number = {11},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_11_a5/}
}
TY  - JOUR
AU  - S. A. Savkov
AU  - A. A. Yushkanov
AU  - Yu. I. Yalamov
TI  - Analytical solution of the kinetic equation in the problem
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 61
EP  - 76
VL  - 16
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_11_a5/
LA  - ru
ID  - MM_2004_16_11_a5
ER  - 
%0 Journal Article
%A S. A. Savkov
%A A. A. Yushkanov
%A Yu. I. Yalamov
%T Analytical solution of the kinetic equation in the problem
%J Matematičeskoe modelirovanie
%D 2004
%P 61-76
%V 16
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_11_a5/
%G ru
%F MM_2004_16_11_a5
S. A. Savkov; A. A. Yushkanov; Yu. I. Yalamov. Analytical solution of the kinetic equation in the problem. Matematičeskoe modelirovanie, Tome 16 (2004) no. 11, pp. 61-76. http://geodesic.mathdoc.fr/item/MM_2004_16_11_a5/

[1] V. M. Zhdanov, M. Ya. Alievskii, Protsessy perenosa i relaksatsii v molekulyarnykh gazakh, Nauka, M., 1989, 336 pp. | Zbl

[2] A. I. Osipov, V. Ya. Panchenko, Teplovye effekty pri vzaimodeistvii lazernogo izlucheniya s molekulyarnymi gazami, Izd-vo MGU, M., 1983, 117 pp.

[3] S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, “Samofokusirovka i difraktsiya sveta v nelineinoi srede”, UFN, 93:1 (1967), 19–70

[4] A. D. Wood, M. Camac, E. T. Gerry, “Effect of $10.6\mu$ laser induced air cemistry on the atmospheric refractive index”, Appl. Opt., 10 (1971), 1877–1882 | DOI

[5] E. L. Breig, “Limitation on the atmospheric thermal effects for high-power $CO_2$ laser beams”, JOSA, 62 (1972), 518–525 | DOI

[6] K. Keiz, P. Tsvaifel, Lineinaya teoriya perenosa, Mir, M., 1976, 381 pp.

[7] A. V. Latyshev, A. A. Yushkanov, “Analiticheskoe vychislenie parametrov molekulyarnogo gaza na poverkhnosti v zadache Smolukhovskogo”, PMTF, 42:3 (2001), 91–100 | MR | Zbl

[8] M. A. Lavrentev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1987, 688 pp. | MR

[9] Sukhorukov A. P., “Samodefokusirovka sveta”, Fizicheskaya entsiklopediya, t. 4, Bolshaya Rossiiskaya entsiklopediya, M., 1994, 407–409