Geodesic
Relations between derivatives across a shock discontinuity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 8, pp. 1246-1257 
A. V. Omel'chenko. Relations between derivatives across a shock discontinuity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 8, pp. 1246-1257. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_8_a15/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Truesdell C., “On curved shocks in steady plane flow of an ideal fluid”, J. Aeronaut. Sci., 19 (1952), 826–828 | MR | Zbl

[2] Lighthill M. J., “The flow behind a stationary shock”, Philos. Mag., 40 (1949), 214–220 | MR | Zbl

[3] Lighthill M. J., “Dynamics of dissotiating gas. Part I”, J. Fluid Mech., 2 (1957), 1–32 | DOI | MR

[4] Rusanov B. B., Proizvodnye gazodinamicheskikh funktsii za iskrivlennoi udarnoi volnoi, Preprint No 18, IPMatem. AN SSSR, M., 1973

[5] Adrianov A. L., Starykh A. L., Uskov V. N., Interferentsiya statsionarnykh gazodinamicheskikh razryvov, Nauka, Novosibirsk, 1995

[6] Chernyi G. G., Techeniya gaza s bolshoi sverkhzvukovoi skorostyu, Fizmatgiz, M., 1959

[7] Chester B., “Rasprostranenie udarnykh voln v kanalakh peremennoi shiriny”, Sb. Mekhanika, 6, M., 1954, 76–87

[8] Chisnell R. F., “The normal motion of a shock wave through a nonuniform onedimentional medium”, Proc. Roy. Soc., 232 (1955), 350 | DOI | MR | Zbl

[9] Chisnell R. F., “The motion of a shock wave in a channel, with applications to cylindrical and spherical shock waves”, J. Fluid Mech., 2 (1957), 286 | DOI | MR | Zbl

[10] Witham G. B., “On the propogation of a shock wave through regions of non-uniform area of flow”, J. Fluid Mech., 4 (1958), 337 | DOI | MR

[11] Uizem Dzh., Lineinye i nelineinye volny, Mir, M., 1977 | MR

[12] Vekken F., “Predelnye polozheniya vilkoobraznykh skachkov uplotneniya”, Mekhanika, 1950, no. 4, 24–34

[13] Vyust V., “K teorii razvetvlennykh skachkov uplotneniya”, Gazovaya dinamika, Izd-vo inostr. lit., M., 1950, 131–143

[14] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1968 | MR

[15] Lax P. D., “Giperbolic systems of conservation laws”, Communs Pure and Appl. Math., 10 (1957), 537–566 | DOI | MR | Zbl

[16] Kheiz U. D., Probstin R. F., Teoriya giperzvukovykh techenii, Izd-vo inostr. lit., M., 1962