Geodesic
On the Galilean group for balance relations generating kinetic schemes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 485-489 
V. F. Kovalev; B. N. Chetverushkin. On the Galilean group for balance relations generating kinetic schemes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 485-489. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The conditions are considered for the invariance under the Galilean transformation group of balance relations used in kinetically consistent difference schemes.

[1] Chetverushkin B. N., Kineticheskie skhemy i kvazidinamicheskaya sistema uravnenii, MAKS Press, M., 2004

[2] Succi S., The Lattice Boltzmann equation, Clarendon Press, Oxford, 2001 | MR | Zbl

[3] Machin D. E., Chetverushkin B. N., “Kineticheskie i Lattice Boltzmann skhemy”, Matem. modelirovanie, 16:3 (2004), 87–94 | Zbl

[4] Kovalev V. F., Krivenko S. V., Pustovalov V. V., “Symmetry group of Vlasov–Maxwell equations in plasma theory”, J. Nonlinear Math. Phys., 3:1–2 (1996), 175–180 | DOI | MR | Zbl

[5] Dorodnitsyn V. A., Gruppovye svoistva raznostnykh uravnenii, MAKS Press, M., 2000

[6] Levi D., Winternitz P., “Continuous symmetries of discrete equations”, Phys. Lett. A, 152:7 (1991), 335–338, arXiv: nlin.SI/0502004 | DOI | MR

[7] Levi D., Winternitz P., “Symmetries and conditional symmetries of differential-difference equations”, J. Math. Phys., 34:8 (1993), 3713–3730 | DOI | MR | Zbl

[8] Ovsyannikov L. V., Lektsii po osnovam gazovoi dinamiki, In-t komp. issled., Moskva, Izhevsk, 2003