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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1961, Volume 1, Number 1, Pages 129–143 (Mi zvmmf7992)  
This article is cited in 3 scientific papers (total in 3 papers)

The interaction between a shock wave and the free surface of a liquid

K. A. Bezhanov

Moscow
Full-text PDF (1258 kB) Citations (3)
Abstract: The motion of the front of a plane arbitrary shock wave over the free surface of a liquid with a rectilinear inclined base is considered. The problem reduces to a boundary-value problem in the theory of analytic functions with discontinuous coefficients.
The problem of what happens when a plane shock wave, travelling along a smooth wall, reaches the free surface of the liquid is discussed. It is shown that the problem can be studied linearly. This is done both for the gas and the liquid. The form of the free surface of the liquid, the pressure distribution, and the form of the shock wave, are found.
Received: 23.10.1960
English version:
USSR Computational Mathematics and Mathematical Physics, 1962, Volume 1, Issue 1, Pages 142–159
DOI: https://doi.org/10.1016/0041-5553(62)90011-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. A. Bezhanov, “The interaction between a shock wave and the free surface of a liquid”, Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961), 129–143; U.S.S.R. Comput. Math. Math. Phys., 1:1 (1962), 142–159
Citation in format AMSBIB
\Bibitem{Bez61}
\by K.~A.~Bezhanov
\paper The interaction between a shock wave and the free surface of a liquid
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1961
\vol 1
\issue 1
\pages 129--143
\mathnet{http://mi.mathnet.ru/zvmmf7992}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0144572}
\zmath{https://zbmath.org/?q=an:0121.42602}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1962
\vol 1
\issue 1
\pages 142--159
\crossref{https://doi.org/10.1016/0041-5553(62)90011-3}
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  • https://www.mathnet.ru/eng/zvmmf/v1/i1/p129
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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