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Matematicheskoe modelirovanie, 2011, Volume 23, Number 1, Pages 65–80 (Mi mm3064)  
The hyperbolisity of equations of isotermal multiphase compositional filtration

A. V. Koldobaa, E. V. Koldobab

a Keldysh Institute for Applied Mathematics of the RAS
b Moscow State University, Mechanical-mathematical Department
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Abstract: Hyperbolic properties of equations of isothermal multiphase compositional filtration were investigated. It was shown that quasilinear form of these equations may be presented in symmetric form. Propagation velocities of weak discontinuities of concentrations and saturations are solutions of eigenvalue problem, which is decomposed on thermodynamical and hydrodynamical subproblems. Conditions which guarantee full set of eigenvalues for this problem were formulated. The filtration of quasiideal mixtures was considered.
Keywords: multiphase compositional filtration, quasiideal mixtures, weak discontinuities, hyperbolisity.
Received: 22.04.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 4, Pages 517–527
DOI: https://doi.org/10.1134/S2070048211040065
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Document Type: Article
Language: Russian
Citation: A. V. Koldoba, E. V. Koldoba, “The hyperbolisity of equations of isotermal multiphase compositional filtration”, Matem. Mod., 23:1 (2011), 65–80; Math. Models Comput. Simul., 3:4 (2011), 517–527
Citation in format AMSBIB
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\by A.~V.~Koldoba, E.~V.~Koldoba
\paper The hyperbolisity of equations of isotermal multiphase compositional filtration
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 1
\pages 65--80
\mathnet{http://mi.mathnet.ru/mm3064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848791}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 4
\pages 517--527
\crossref{https://doi.org/10.1134/S2070048211040065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928998021}
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