Numerical analysis of the realizability of the conditions of neutral stability for shock waves in the problem of a~flow past a~wedge by a~van der Waals gas
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 51-63.

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By means of numerical calculation, the question is solved of the realizability of the conditions of neutral stability for shock waves in the problem of a flow of real gases past a wedge.
Keywords: Lopatinskii condition, neutrally stable, shock waves, van der Waals gas.
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A. M. Blokhin; A. S. Bychkov; V. O. Myakishev. Numerical analysis of the realizability of the conditions of neutral stability for shock waves in the problem of a~flow past a~wedge by a~van der Waals gas. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 51-63. http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a4/

[1] Dyakov S. P., “Ob ustoichivosti udarnykh voln”, Zhurn. eksperiment. i teor. fiziki, 27:3 (1954), 288–296 | MR

[2] Kontorovich V. M., “K voprosu ob ustoichivosti udarnykh voln”, Zhurn. eksperiment. i teor. fiziki, 33:6 (1957), 1525–1526

[3] Iordanskii S. V., “Ob ustoichivosti ploskoi statsionarnoi udarnoi volny”, Prikl. matematika i mekhanika, 21:4 (1957), 465–472 | MR

[4] Zaidel R. M., “Razvitie vozmuschenii v ploskikh udarnykh volnakh”, Prikl. mekhanika i tekhn. fizika, 1967, no. 4, 30–39

[5] Blokhin A. M., Integraly energii v zadache ob ustoichivosti udarnoi volny, izd. In-ta matematiki SO AN SSSR, Novosibirsk, 1982

[6] Blokhin A. M., Integraly energii i ikh prilozheniya k zadacham gazovoi dinamiki, Nauka, Novosibirsk, 1986 | MR

[7] Blokhin A. M., Tkachëv D. L., Obosnovanie gipotezy Kuranta–Fridrikha v zadache ob obtekanii klina, Tamara Rozhkovskaya, Novosibirsk, 2011

[8] Egorushkin S. A., “Nelineinaya ustoichivost spontanno izluchayuschei udarnoi volny”, Izv. AN SSSR. Mekhanika zhidkosti i gaza, 1984, no. 3, 110–118 | Zbl

[9] Konyukhov A. V., Likhachëv A. R., Fortov V. E., Oparin A. M., Anisimov S. I., “Neitralno ustoichivye udarnye volny v termodinamicheski neidealnykh sredakh: teoriya i vychislitelnyi ekcperiment”, Tr. Mezhdunar. konf. “9 Zababakhinskie nauchnye chteniya”, 2007, 1–14

[10] Blokhin A. M., Bushmanov R. S., Tkachev D. L., O vypolnenii usloviya Lopatinskogo v zadache ob obtekanii klina normalnym gazom, Preprint No 271, In–t matematiki SO RAN, Novosibirsk, 2011, 25 pp.

[11] Ovsyannikov L. V., Lektsii po osnovam gazovoi dinamiki, Nauka, M., 1981 | MR | Zbl

[12] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1978 | MR

[13] Sedov L. N., Mekhanika sploshnoi sredy, v. 1, Nauka, M., 1970

[14] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[15] Bai Shi-i, Vvedenie v teoriyu techeniya szhimaemoi zhidkosti, Izd-vo inostr. lit., M., 1962

[16] Ter Khaar D., Vergeland G., Elementarnaya termodinamika, Mir, M., 1968

[17] Kubo R., Termodinamika, Mir, M., 1970

[18] Zeldovich Ya. B., “O vozmozhnosti udarnykh voln razrezheniya”, Zhurn. eksperiment. i teor. fiziki, 16:4 (1946), 363–364

[19] Coulombel J.-F., Secchi P., “Nonlinear compressible vortex sheets in two space dimensions”, Ann. Sci. Ecole Norm. Sup., 41 (2008), 85–139 | MR | Zbl