Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJIM_2003_6_2_a13, author = {A. I. Ender and I. A. Ender}, title = {Matrix elements and kernels of nonlinear collision integral}, journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki}, pages = {156--164}, publisher = {mathdoc}, volume = {6}, number = {2}, year = {2003}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJIM_2003_6_2_a13/} }
TY - JOUR AU - A. I. Ender AU - I. A. Ender TI - Matrix elements and kernels of nonlinear collision integral JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2003 SP - 156 EP - 164 VL - 6 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJIM_2003_6_2_a13/ LA - ru ID - SJIM_2003_6_2_a13 ER -
A. I. Ender; I. A. Ender. Matrix elements and kernels of nonlinear collision integral. Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 2, pp. 156-164. http://geodesic.mathdoc.fr/item/SJIM_2003_6_2_a13/
[1] Ender A. Ya., Ender I. A., “Nelineinyi momentnyi metod dlya izotropnogo uravneniya Boltsmana i invariantnost integrala stolknovenii”, Zhurn. tekhn. fiziki, 69:6 (1999), 22–29
[2] Ender A. Ya., Ender I. A., “Polynomial expansions forth e isotropic Boltzmann equation and invariance of the collision integral with respect to the choice of basis functions”, Phys. Fluids, 9 (1999), 2720–2730 | DOI | MR
[3] Ender A. Ya., Ender I. A., “Svyazi mezhdu matrichnymi elementami nelineinogo boltsmanovskogo integrala stolknovenii v osesimmetrichnom sluchae”, Zhurn. tekhn. fiziki, 72:5 (2002), 1–9
[4] Ender A. Ya., Ender I. A., Struktura integrala stolknovenii v uravnenii Boltsmana i momentnyi metod, Izd-vo SPb. gos. un-ta, SPb., 2002
[5] Chepmen S., Kauling T., Matematicheskaya teoriya neodnorodnykh gazov, Izd-vo inostr. lit., M., 1960 | MR
[6] Burnett D., “The distribution of velocities in a slightly non-uniform gas”, Proc. London Math. Soc., 39 (1935), 385–430 | DOI | Zbl
[7] Burnett D., “The distribution of molecular velocities and the mean motion in a non-uniform gas”, Proc. London Math. Soc., 40 (1935), 382–435 | DOI | Zbl
[8] Grad H., “On the kinetic theory of rarefied gases”, Comm. Pure Appl. Math., 2 (1949), 311–407 | MR
[9] Sirovich L., “Dispersion relations in rarefied gas dynamics”, Phys. Fluids, 6:1 (1963), 10–20 | DOI | MR | Zbl
[10] Ender A. Ya., Ender I. A., “O svyazyakh mezhdu matrichnymi elementami boltsmanovskogo integrala stolknovenii v trekhmernom sluchae”, Aerodinamika, SPb., 2002, 134–153
[11] Hecke E., “Über orthogonalinvariante Integralgleichungen”, Math. Ann., 78 (1917), 398–404 | DOI | MR | Zbl
[12] Hecke E., “Überdie Integralgleichung derkinetis hen Gastheorie”, Math. Z., 12 (1922), 274–286 | DOI | MR | Zbl
[13] Hilbert D., “Begründung derki netischen Gastheorie”, Math. Ann., 72 (1912), 562–577 | DOI | MR | Zbl
[14] Pekkeris C. L. Alterman Z., Finkelstein L., Francowski K., “Propagation of sound in a gas of rigid spheres”, Phys. Fluids, 5:12 (1962), 1608–1616 | DOI | MR
[15] Loyalka S. K., “Izotermal condensation on a plane surface”, Phys. Fluids, 1:2 (1989), 384–388 | Zbl
[16] Loyalka S. K., “Temperature jump and thermal creep sleep: Rigid sphere gas”, Phys. Fluids, 1:2 (1989), 403–408 | DOI | Zbl