Evolution of gas flows adjacent to vacuum under the action of gravity and Coriolis force
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 63-74
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The evolution of flows of an ideal polytropic gas adjacent to vacuum is considered under the action of gravity and Coriolis force. A solution is constructed in the form of converging series. A motion law for the free gas-vacuum surface is obtained in parametric form.
Keywords: ideal polytropic gas, free gas-vacuum surface, converging series.
Mots-clés : Coriolis force
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S. L. Deryabin; A. V. Mezentsev. Evolution of gas flows adjacent to vacuum under the action of gravity and Coriolis force. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 63-74. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a4/

[1] Sidopov A. F., Izbrannye trudy. Matematika. Mekhanika, Fizmatlit, M., 2001, 576 pp. | MR

[2] Bautin S. P., Depyabin S. L., Matematicheskoe modelirovanie istecheniya idealnogo gaza v vakuum, Nauka, Novosibirsk, 2005, 390 pp. | Zbl

[3] Bautin S. P., Depyabin S. L., “Analiticheskoe modelirovanie istecheniya idealnogo gaza v vakuum”, Uspekhi mekhaniki, 4:1 (2006), 77–120

[4] Bautin S. P., “Skhlopyvanie odnomernoi polosti”, Prikl. matematika i mekhanika, 46:1 (1982), 50–59 | Zbl

[5] Bautin S. P., Deryabin S. L., “Istechenie idealnogo gaza v vakuum”, Dokl. AN SSSR, 273:4 (1983), 817–820 | MR | Zbl

[6] Deryabin S. L., “Trekhmernoe istechenie v vakuum neodnorodnogo dvizhuschegosya gaza”, Dinamika sploshnoi sredy. Sb. nauch. tr., 65, In-t gidrodinamiki Sib. otd-nie AN SSSR, 1984, 56–74 | MR

[7] Deryabin S. L., Chuev N. P., “Sfericheski-simmetrichnoe istechenie samogravitiruyuschego idealnogo gaza v vakuum”, Prikl. matematika i mekhanika, 58:2 (1994), 77–84 | MR | Zbl

[8] Deryabin S. L., “Odnomernoe istechenie samogravitiruyuschego idealnogo gaza v vakuum”, Vychislitelnye tekhnologii, 8:4 (2003), 32–44 | Zbl

[9] Deryabin S. L., “Trekhmernoe istechenie v vakuum neodnorodnogo dvizhuschegosya gaza v usloviyakh deistviya vneshnikh massovykh sil”, Dinamika sploshnoi sredy. Sb. nauch. tr., 83, In-t gidrodinamiki Sib. otd-nie AN SSSR, 1987, 60–71 | MR

[10] Depyabin S. L., “Nachalnaya evolyutsiya zakruchennykh gazovykh ob'emov, primykayuschikh k vakuumu”, Vychislitelnye tekhnologii, 10:1 (2005), 21–36

[11] Bautin S. P., Tornado i sila Koriolisa, Nauka, Novosibirsk, 2008, 92 pp.

[12] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1970, 904 pp. | MR

[13] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964, 830 pp. | MR

[14] Loitsyanskii L. G., Lure A. I., Kurs teoreticheskoi mekhaniki, v. 2, Nauka, M., 1983, 640 pp.

[15] Kochin N. E., Kibel I. A., Roze N. V., Teoreticheskaya gidromekhanika, Ch. 1, Fizmatgiz, M., 1963, 583 pp. | Zbl