Geodesic
The numerical investigation of the shock wave nonlinear refraction on the surface which separate gaseous and gas-liquid mediums
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 67-73.

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In work the class of tasks of a nonlinear refraction of shock waves is examined. Research is reduced to the decision of regional tasks of refraction. For the decision of the received regional tasks the theory of interaction of shock waves in gas-liquids environments (biphasic), generalizing the theory of interaction in single-phase environments is constructed asymptotic. The numerical method of the decision of regional tasks for areas with significant gradients of parameters (areas of short waves) is constructed. 
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G. P. Shindyapin; A. A. Matutin. The numerical investigation of the shock wave nonlinear refraction on the surface which separate gaseous and gas-liquid mediums. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 67-73. http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a7/

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