On Perturbations of a Tangential Discontinuity Surface between Two Non-Uniform Flows of an Ideal Incompressible Fluid

The development of perturbations of a tangential discontinuity surface separating two stationary flows of an ideal incompressible fluid slowly varying in space is studied taking into account surface tension. Perturbations are described using complex Hamiltonian equations. The dependences of the amplitude of perturbations on the coordinate and time are obtained.