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Matematicheskoe modelirovanie, 1993, Volume 5, Number 7, Pages 71–85 (Mi mm1993)  
This article is cited in 1 scientific paper (total in 1 paper)

Computational methods and algorithms

Similar solutions existence and features for piston problem in gas dynamics

M. M. Ad'yutov, Yu. A. Klokova, A. P. Mikhailovb, V. V. Stepanovab, A. A. Shamray

a University of Latvia, Institute of Mathematics and Computer Science
b Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (1393 kB) Citations (1)
Abstract: An existence of similar solutions of piston problem for gas dynamic equations is shown. A piston velosity may increase or decrease with time. Initially a gas has zero velocity and pressure, its initial density has non-uniform distribution in space. An ad hoc form of ODE describing similar solutions is used in order to prove the existence. A space-time profiles of solutions and conditions of their non-monotony are obtained.
Received: 14.05.1993
Bibliographic databases:
Language: Russian
Citation: M. M. Ad'yutov, Yu. A. Klokov, A. P. Mikhailov, V. V. Stepanova, A. A. Shamray, “Similar solutions existence and features for piston problem in gas dynamics”, Matem. Mod., 5:7 (1993), 71–85
Citation in format AMSBIB
\Bibitem{AdyKloMik93}
\by M.~M.~Ad'yutov, Yu.~A.~Klokov, A.~P.~Mikhailov, V.~V.~Stepanova, A.~A.~Shamray
\paper Similar solutions existence and features for piston problem in gas dynamics
\jour Matem. Mod.
\yr 1993
\vol 5
\issue 7
\pages 71--85
\mathnet{http://mi.mathnet.ru/mm1993}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1261323}
\zmath{https://zbmath.org/?q=an:1002.76554}
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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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