Geodesic
Collapse of a single bubble in a Shvedov–Bingham fluid under pulsating external pressure
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 62-64 
A. A. Shevchuk. Collapse of a single bubble in a Shvedov–Bingham fluid under pulsating external pressure. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 62-64. http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a13/
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     author = {A. A. Shevchuk},
     title = {Collapse of a single bubble in a {Shvedov{\textendash}Bingham} fluid under pulsating external pressure},
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     pages = {62--64},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Numerical and analytical study of the behavior of a spherical bubble in an ideal fluid, a viscous medium and an incompressible viscoplastic medium with a yield strength under time-varying periodic pressure at a sufficient distance from the surface of the bubble is carried out. Different modes of collapse are examined and classified. The critical values of the key parameters that characterize the behavior of the system (one of them is the dimensionless frequency of external pressure) are found.

[1] Ilgamov M.A., “Rasshirenie-szhatie i ustoichivost polosti v srede pri silnom akusticheskom vozdeistvii”, Dokl. RAN, 433:2 (2010), 178–181

[2] Smorodov E.A., Galiakhmetov R.N., Ilgamov M.A., Fizika i khimiya kavitatsii, Nauka, M., 2008

[3] Ilyushin A.A., Lomakin V.A., Shmakov A.P., Zadachi i uprazhneniya po mekhanike sploshnoi sredy, Izd-vo MGU, M., 1979

[4] Pobedrya B.E., Chislennye metody v teorii uprugosti i plastichnosti, Izd-vo MGU, M., 1985 | MR

[5] Zababakhin E.I., “Zapolnenie puzyrkov vyazkoi sredoyu”, Prikl. matem. i mekhan., 24:6 (1960), 1129–1131

[6] Georgievskii D.V., Zhdanova A.V., “O stragivanii i skhlopyvanii sfericheskogo gazovogo puzyrka v srede s predelom tekuchesti”, Vestn. Mosk. un-ta. Matem. Mekhan., 2005, no. 4, 39–45