Geodesic
The Kramers problem for the ellipsoidal-statistical Boltzmann equation with frequency proportional to the velocity of molecules
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 4, pp. 483-493 
A. V. Latyshev; A. A. Yushkanov. The Kramers problem for the ellipsoidal-statistical Boltzmann equation with frequency proportional to the velocity of molecules. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 4, pp. 483-493. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_4_a8/
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     title = {The {Kramers} problem for the ellipsoidal-statistical {Boltzmann} equation with frequency proportional to the velocity of molecules},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

[2] Cercignani C., “The method of elementary solutions for kinetic models with velocity-depenent collision frequency”, Ann. Phys., 40:3 (1966), 469–481 | DOI | MR

[3] Cercignani C., Foresti P., Sernagiotto F., “Dependence of the slip coefficient on the form of the collision frequency”, Nuovo Cimento, 57:2 (1968), 297–306 | DOI | MR

[4] Williams M. M. R., “Boundary – value problems in the kinetic theory of gases. Part I. Slip, flow”, J. Fluid. Mech., 36:1 (1969), 145–159 | DOI | Zbl

[5] Pao Y.-P., “Some boundary value problems in the kinetic theory of gases”, Phys. Fluids, 14:11 (1971), 2285–2290 | DOI | MR | Zbl

[6] Cercignani C., Protopopescu V., “The spectral decomposition for a class of linear transport operators”, J. Statist. Phys., 29:2 (1982), 363–374 | DOI | MR | Zbl

[7] Bardos C., Caflish R. E., Nicolaenko B., “The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas”, Communs Pure and Appl. Math., 39:3 (1986), 323–352 | DOI | MR | Zbl

[8] Latyshev A. B., Yushkanov A. A., “Teoriya i tochnye resheniya zadach skolzheniya binarnogo gaza vdol ploskoi poverkhnosti”, Zh. vychisl. matem. i matem. fiz., 31:8 (1991), 1201–1210 | MR

[9] Latyshev A. V., “Analiticheskoe reshenie zadach skolzheniya binarnogo gaza”, Teor. i matem. fiz., 86:3 (1991), 402–419 | MR

[10] Latyshev A. V., Yushkanov A. A., “Analiticheskoe reshenie zadachi Kramersa dlya plotnogo gaza”, Poverkhnost, 1994, no. 6, 45–51

[11] Shakhov E. M., Metod issledovaniya dvizhenii razrezhennogo gaza, Nauka, M., 1974

[12] Latyshev A. V., “Analiticheskoe reshenie uravneniya Boltsmana s operatorom stolknovenii smeshannogo tipa”, Zh. vychisl. matem. i matem. fiz., 31:3 (1991), 436–447 | MR | Zbl

[13] Vladimirov B. C., Uravneniya matematicheskoi fiziki, Nauka, M., 1988 | MR

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

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

[16] Ohwada T., Sone Y., Aoki K., “Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules”, Phys. Fluids A, 1:9 (1989), 1588–1599 | DOI | Zbl