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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 3, Pages 30–40 (Mi pmtf1478)  
This article is cited in 6 scientific papers (total in 6 papers)

Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics

A. L. Kazakov, A. A. Lempert

Institute of System Dynamics and Control Theory, Siberian Division of the Russian Academy of Sciences, Irkutsk, 664033, Russia
Full-text PDF (344 kB) Citations (6)
Abstract: The existence and uniqueness theorems for solutions in the class of analytic functions were proved for two generalized Cauchy problems with conditions imposed on two surfaces. Using the theorems proved, implicit difference schemes are constructed for the numerical solution. A program was designed, and the corresponding numerical calculations were performed.
Keywords: gas dynamics, shock waves, boundary problem, existence theorem, difference scheme.
Received: 18.05.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 3, Pages 352–362
DOI: https://doi.org/10.1134/S0021894411030047
Bibliographic databases:
Document Type: Article
UDC: 533.6+517.95
Language: Russian
Citation: A. L. Kazakov, A. A. Lempert, “Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics”, Prikl. Mekh. Tekh. Fiz., 52:3 (2011), 30–40; J. Appl. Mech. Tech. Phys., 52:3 (2011), 352–362
Citation in format AMSBIB
\Bibitem{KazLem11}
\by A.~L.~Kazakov, A.~A.~Lempert
\paper Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 3
\pages 30--40
\mathnet{http://mi.mathnet.ru/pmtf1478}
\elib{https://elibrary.ru/item.asp?id=16973527}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 3
\pages 352--362
\crossref{https://doi.org/10.1134/S0021894411030047}
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  • https://www.mathnet.ru/eng/pmtf/v52/i3/p30
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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