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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 1, Pages 130–145 (Mi timm12)  
This article is cited in 9 scientific papers (total in 9 papers)

On solving the potential equation

L. I. Rubina, O. N. Ul'yanov
Full-text PDF (298 kB) Citations (9)
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Abstract: We consider planar nonstationary potential flows of polytropic gas. The corresponding partial differential equation is studied by the method of level surfaces. Sufficient conditions on the arbitrary functions providing the construction of exact solutions of the potential equation are obtained. Equations for shock waves separating the potential flow from the rest area or from the area of motion with constant velocity are written out.
Received: 25.10.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, Volume 261, Issue 1, Pages S183–S200
DOI: https://doi.org/10.1134/S0081543808050167
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. I. Rubina, O. N. Ul'yanov, “On solving the potential equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 1, 2008, 130–145; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S183–S200
Citation in format AMSBIB
\Bibitem{RubUly08}
\by L.~I.~Rubina, O.~N.~Ul'yanov
\paper On solving the potential equation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 1
\pages 130--145
\mathnet{http://mi.mathnet.ru/timm12}
\elib{https://elibrary.ru/item.asp?id=11929810}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2008
\vol 261
\issue , suppl. 1
\pages S183--S200
\crossref{https://doi.org/10.1134/S0081543808050167}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149190568}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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