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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 32–46
DOI: https://doi.org/10.15372/PMTF20190203 (Mi pmtf457) 		 
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
Full-text PDF (317 kB)
DOI: https://doi.org/10.15372/PMTF20190203
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.
Keywords: tangential discontinuity, dispersion equation, Fourier integral transform, saddle-point method, Hamilton complex equations.
Received: 19.11.2018
Revised: 19.11.2018
Accepted: 26.11.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 211–223
DOI: https://doi.org/10.1134/S0021894419020032
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A. G. Kulikovskii, N. A. Kulikovsky, N. T. Pashchenko, “On perturbations of a tangential discontinuity surface between two non-uniform flows of an ideal non-compressible fluid”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 32–46; J. Appl. Mech. Tech. Phys., 60:2 (2019), 211–223
Citation in format AMSBIB
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\paper On perturbations of a tangential discontinuity surface between two non-uniform flows of an ideal non-compressible fluid
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\pages 32--46
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\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 211--223
\crossref{https://doi.org/10.1134/S0021894419020032}
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