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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 4, Pages 21–31 (Mi vngu97)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Boundary Value Problem Arising in the Theory of Internal Waves

K. V. Golosova, N. I. Makarenkoab

a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Novosibirsk State University
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Abstract: An elliptic boundary value problem, which arises in the theory of stationary waves at the interface between the layers of homogeneous and exponentially stratified fluids, is considered. Solutions estimates are obtained with the help of Fourier transform technique in a special class of functions having exponential decay at infinity.
Keywords: two-layer fluid, exponential stratification, internal waves, elliptic boundary value problem, solution estimates, Fourier transform, Green function.
Received: 01.10.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 195, Issue 6, Pages 805–814
DOI: https://doi.org/10.1007/s10958-013-1619-8
Document Type: Article
UDC: 517.958
Language: Russian
Citation: K. V. Golosov, N. I. Makarenko, “On the Boundary Value Problem Arising in the Theory of Internal Waves”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:4 (2011), 21–31; J. Math. Sci., 195:6 (2013), 805–814
Citation in format AMSBIB
\Bibitem{GolMak11}
\by K.~V.~Golosov, N.~I.~Makarenko
\paper On the Boundary Value Problem Arising in the Theory of Internal Waves
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 4
\pages 21--31
\mathnet{http://mi.mathnet.ru/vngu97}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 195
\issue 6
\pages 805--814
\crossref{https://doi.org/10.1007/s10958-013-1619-8}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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