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The International Conference on Multiphase Systems, ICMS'2000
Ufa, RUSSIA, June 15-17, 2000

Singularities in the Equations of Motion of Compressible Liquid

Chupakhin A. P.

Lavrentyev Institute of Hydrodynamics, Siberian Division of R.A.S., Novosibirsk, RUSSIA

Singularities in solutions at description of different mechanical and physical models excite keen interest of researches. Formation of cumulative jet and density clots at evolution of the Universe macro-structure, powerful shock-free compression of gas, sonoluminiscence are the bright examples of manifestations of singularities in the out world [1]. In the present paper the mathematical model for describing singularities of certain type is proposed and the results of its investigation are presented. The effects of density collapse and acoustical collapse on variety of arbitrary geometry were discovered analytically.