On Perturbations of a Tangential Discontinuity Surface between Two Non-Uniform Flows of an Ideal Non-Compressible Fluid
A. G. Kulikovskii, N. A. Kulikovsky, N. T. Pashchenko
Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991, Russia
Keywords: тангенциальный разрыв, дисперсионное уравнение, интеграл Фурье, метод перевала, комплексные уравнения Гамильтона, tangential discontinuity, dispersion equation, Fourier integral transform, saddle-point method, Hamilton complex equations
Abstract
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 the complex Hamilton equations. The dependences of the amplitude of the perturbations on the coordinate and time are obtained.
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