An approach is proposed to investigate the impact interaction of a spherical body and the cavitational cavity surface during a movement in compressible liquid. A nonstationary mixed initial-boundary problem with unknown boundaries moving with variable velocity is formulated. The problem solution is reduced to Volterra integral equations of the 2-nd kind in conventional case. The velocity of body's penetration is determined at the initial time interval as a function of mass and initial conditions. It is estimated that, unlike the incompressible liquid case, the liquid reaction force accomplishes its maximal value in a trice and decays after it.

• Кубенко Веніамін Дмитрович (1938–) (фізико-математичні науки)

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