Various regimes of motion of a spherical cavity at a negative external pressure

Abstract

1. Study of the behavior of defects in the internal structure of a solid is of fundamental importance for simulation of its behavior under external action. The problem of the behavior of a spherical cavity is a classical problem for point defects. As early as in 1917, Rayleigh [1] showed that the absolute value of the velocity of the cavity boundary in an ideal incompressible fluid increases as R–3/2 with a decease in the cavity radius R to zero. The compression of the cavity in a viscous medium with surface tension can lead to several collapse regimes [2–4]. The basic properties of cavitycollapse regimes under such conditions were studied by methods of the qualitative theory of differential equations in [5].