Development of axisymmetric perturbations in the compression of a gaseous cavity by an ideal fluid

A numerical study is presented on the development of axisymmetric perturbations in the adiabatic compression of a gaseous cavity by an incompressible inviscid unbounded ideal fluid. The method of solution is based on the reduction of the Laplace equation for the velocity potential to an integral equation relative to the functions of sources distributed on the cavity surface, and on the description of the motion of this surface. Numerical results are presented.