Geodesic
On approximate methods in gas dynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 9, pp. 1425-1435 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Tupchiev. On approximate methods in gas dynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 9, pp. 1425-1435. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_9_a12/

[1] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya v gazovoi dinamike, Nauka, M., 1978 | MR

[2] Dafermos C. M., “Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method”, Arch. Ration. Mech. and Analys., 52:1 (1973), 1–9 | MR | Zbl

[3] Dafermos C. M., Di Perna R., “The Rimann problem for certain clases of heperbolic systems of conservation laws”, J. Different. Equat., 20:1 (1976), 90–114 | DOI | MR | Zbl

[4] Sklobovskii H. K., Tupchiev B. A., “O ravnomernoi ogranichennosti po parametru reshenii singulyarno vozmuschennykh zadach dlya sistem obyknovennykh differentsialnykh uravnenii”, Differents. ur-niya, 1986, no. 12, 2072–2080 | MR

[5] Tupchiev V. A., “Funktsionalnye resheniya zadachi o raspade razryva”, Matem. zametki, 63:2 (1998), 280–288 | MR | Zbl

[6] Tupchiev V. A., “O metode vvedeniya vyazkosti v izuchenii zadachi o raspade razryva”, Dokl. AN SSSR, 211:1 (1973), 55–58

[7] Tupchiev V. A., Obobschennye resheniya zakonov sokhraneniya, Uch. posobie, In-t atomnoi energetiki, Obninsk, 1996

[8] Tupchiev V. A., “O skhodimosti v slabykh topologiyakh priblizhennykh metodov dlya izentropicheskoi sistemy gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 34:10 (1994), 1503–1519 | MR | Zbl

[9] Tupchiev V. A., “Ob asimptotike resheniya zadachi Koshi dlya uravneniya $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$ vyrozhdayuscheisya pri $\varepsilon=0$ v zadachu o raspade proizvolnogo razryva dlya sluchaya volny razrezheniya”, Zh. vychisl. matem. i matem. fiz., 12:3 (1972), 770–775

[10] Butuzov V. F., Vasileva A. B., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR | Zbl

[11] Gelfand I. M., “Nekotorye zadachi teorii kvazilineinykh uravnenii”, Uspekhi matem. nauk, 14:9 (1959), 87–158

[12] Godunov S. K., “O ponyatii obobschennogo resheniya”, Dokl. AN SSSR, 134:6 (1960), 1279–1282 | MR | Zbl

[13] Bykhovskii E. B., “O metode malogo parametra (“ischezayuschaya vyazkost”) dlya sistemy uravnenii gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 2:6 (1962), 1128–1131