Propagation of shock waves in a liquid with small gas bubbles
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 95-99

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In the framework of the general hydrodynamic model we solve numerically two problems on the propagation of plane nonstationary waves with considerable intensity $(\Delta p/p_0\sim4\div6)$ in bubbling liquids. 1) The problem of soliton interaction. The essentially nonlinear effect of soliton amplitude amplification takes place in this interaction. 2) The problem of long wave pulse interaction with the bubble screen and its reflection from the rigid wall. We show that the screen can be used as a damping for the pulse coming from the liquid.
@article{VMUMM_1983_1_a24,
     author = {Z. A. Shikhmurzaeva},
     title = {Propagation of shock waves in a liquid with small gas bubbles},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {95--99},
     publisher = {mathdoc},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a24/}
}
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Z. A. Shikhmurzaeva. Propagation of shock waves in a liquid with small gas bubbles. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 95-99. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a24/