Email this article On Perturbations of a Tangential Discontinuity Surface between Two Non-Uniform Flows of an Ideal Incompressible Fluid
- Authors: Kulikovskii A.G.1, Kulikovsky N.A.1, Pashchenko N.T.1
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Affiliations:
- Steklov Mathematical Institute, Russian Academy of Sciences
- Issue: Vol 60, No 2 (2019)
- Pages: 211-223
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161481
- DOI: https://doi.org/10.1134/S0021894419020032
- ID: 161481
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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 complex Hamiltonian equations. The dependences of the amplitude of perturbations on the coordinate and time are obtained.
About the authors
A. G. Kulikovskii
Steklov Mathematical Institute, Russian Academy of Sciences
Author for correspondence.
Email: kulik@mi-ras.ru
Russian Federation, Moscow, 119991
N. A. Kulikovsky
Steklov Mathematical Institute, Russian Academy of Sciences
Author for correspondence.
Email: nkul.au@gmail.com
Russian Federation, Moscow, 119991
N. T. Pashchenko
Steklov Mathematical Institute, Russian Academy of Sciences
Author for correspondence.
Email: panell@flovers.klever.net
Russian Federation, Moscow, 119991
