Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems
Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 80-94.

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The kinetic equation is constructed describing a behaviour of Bose-gases with collision frequency propotional to molecular velocity. The analytical solution of the generalized Smolukhovski problem is obtained. In this problem the temperature gradient and the velocity of mass flow are given. The exact formulas for jumps of the temperature the gas, the concentration and the chemical potential are deduced. The analysis of the limiting cases show transition the quantized Bose-gas to classic or to degenerative case.
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A. V. Latyshev; A. A. Yushkanov. Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems. Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 80-94. http://geodesic.mathdoc.fr/item/MM_2003_15_5_a9/

[1] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1977

[2] M. N. Kogan, Dinamika razrezhennogo gaza. Kineticheskaya teoriya, Nauka, M., 1967

[3] O. A. Kolenchits, Teplovaya akkomodatsiya sistem gaz-tverdoe telo, Nauka i tekhnika, Minsk, 1977

[4] A. V. Latyshev, A. A. Yushkanov, “Analiticheskoe reshenie zadachi o skachke temperatury v gaze s vraschatelnymi stepenyami svobody”, TMF, 95:3 (1993), 530–540 | MR | Zbl

[5] A. V. Latyshev, A. A. Yushkanov, “Granichnye zadachi dlya modelnogo uravneniya Boltsmana s chastotoi, proportsionalnoi skorosti molekul”, Izvestiya RAN. Ser. MZhG, 1996, no. 3, 140–153 | MR | Zbl

[6] A. V. Latyshev, A. A. Yushkanov, “Skachok temperatury i slaboe isparenie v molekulyarnykh gazakh”, ZhETF, 114:9 (1998), 956–971

[7] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Nauka, M., 1976 | MR

[8] B. C. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Nauka, M., 2001

[9] T. A. Germogenova, O polnote sistemy sobstvennykh funktsii kharakteristicheskogo uravneniya teorii perenosa, IP Matem. im. M. V. Keldysha, 1976, Preprint No 103

[10] K. Keiz, P. Tsvaifel, Lineinaya teoriya perenosa, Mir, M., 1972

[11] F. D. Gakhov, Kraevye zadachi, Nauka, M., 1977 | MR

[12] M. V. Fedoryuk, Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR