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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 4, Pages 3–8
DOI: https://doi.org/10.15372/PMTF20210401 (Mi pmtf124) 		 
Steady waves on the surface of a liquid of variable depth

T. A. Bodnar

Biysk Technological Institute, 659322, Biysk, Russia
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DOI: https://doi.org/10.15372/PMTF20210401
Abstract: The Nekrasov integral equation is obtained which describes the steady flow of an ideal incompressible fluid with a free surface above an uneven bottom with a wavy profile. A numerical method has been developed for solving this equation at the coordinates of the bottom profile defined in the plane of the complex variable z=x+iy.
Keywords: steady waves on the surface of a liquid, integral equation, Laurent series, kernel of the Nekrasov equation, conformal mapping.
Received: 04.02.2020
Revised: 17.10.2020
Accepted: 26.10.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 4, Pages 525–529
DOI: https://doi.org/10.1134/S0021894421040015
Bibliographic databases:
Document Type: Article
UDC: 517+532
Language: Russian
Citation: T. A. Bodnar, “Steady waves on the surface of a liquid of variable depth”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021), 3–8; J. Appl. Mech. Tech. Phys., 62:4 (2021), 525–529
Citation in format AMSBIB
\Bibitem{Bod21}
\by T.~A.~Bodnar
\paper Steady waves on the surface of a liquid of variable depth
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 4
\pages 3--8
\mathnet{http://mi.mathnet.ru/pmtf124}
\crossref{https://doi.org/10.15372/PMTF20210401}
\elib{https://elibrary.ru/item.asp?id=46447987}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 4
\pages 525--529
\crossref{https://doi.org/10.1134/S0021894421040015}
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