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Matem. Mod., 2001, Volume 13, Number 10, Pages 27–42 (Mi mm793)  

This article is cited in 7 scientific papers (total in 7 papers)

One-velocity model of heterogeneous media

V. S. Surov

Chelyabinsk State University

Abstract: One-dimensional non-stationary flows, and also flat (axisymmetrical) stationary flows of an onevelocity multicomponent mixture are investigated. It is shown, that for considered flows the secular equation has the multiple radicals. The singularities of a realization of a characteristics method for one-velocity model of dispersible environment are circumscribed. The problem about stability of the solutions in relation to small disturbances is considered. For series of particular mixtures the correctness of a Cauchy problem is shown.

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Received: 24.04.2000

Citation: V. S. Surov, “One-velocity model of heterogeneous media”, Matem. Mod., 13:10 (2001), 27–42

Citation in format AMSBIB
\Bibitem{Sur01}
\by V.~S.~Surov
\paper One-velocity model of heterogeneous media
\jour Matem. Mod.
\yr 2001
\vol 13
\issue 10
\pages 27--42
\mathnet{http://mi.mathnet.ru/mm793}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1901739}
\zmath{https://zbmath.org/?q=an:1091.76579}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. S. Surov, “Metod kharakteristik dlya rascheta techenii odnoskorostnykh geterogennykh smesei v lagranzhevykh peremennykh”, Matem. modelirovanie, 15:5 (2003), 37–46  mathnet  zmath
    2. V. S. Surov, “One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel”, Comput. Math. Math. Phys., 48:6 (2008), 1048–1062  mathnet  crossref  zmath  isi
    3. Surov, VS, “The Riemann problem for one-velocity model of multicomponent mixture”, High Temperature, 47:2 (2009), 263  mathnet  crossref  isi  elib  scopus
    4. Volkov N.B., Pogorelko V.V., Yalovets A.P., “Method for Theoretical Description of Dynamic Processes in Heterogeneous Media”, Tech. Phys., 58:7 (2013), 950–959  crossref  isi  elib  scopus
    5. Agisheva U.O., Bolotnova R.Kh., Buzina V.A., Galimzyanov M.N., “Parametric Analysis of the Regimes of Shock-Wave Action on Gas-Liquid Media”, Fluid Dyn., 48:2 (2013), 151–162  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. N. A. Zaitsev, B. V. Kritskiy, “A single velocity model for calculating of two-phase flows from first principles”, Math. Models Comput. Simul., 10:4 (2018), 387–397  mathnet  crossref  elib
    7. Surov V.S., “Account of Interfractional Heat Transfer in a Hyperbolic Model of a One-Velocity Heterogeneous Mixture”, J. Eng. Phys. Thermophys., 90:3 (2017), 575–585  crossref  mathscinet  isi  scopus
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