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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 4, Pages 86–97 (Mi sjim700)  

This article is cited in 3 scientific papers (total in 3 papers)

A thermodynamically consistent system of conservation laws for the flow of a compressible fluid in an elastic porous medium

E. I. Romenskiĭ

Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
Full-text PDF (302 kB) Citations (3)
References:
Abstract: Basing on the method of thermodynamically consistent systems of conservation laws we develop a model of the isoentropic flow of a compressible fluid in an elastically deformable porous medium in the case of finite deformations, whose defining equations are hyperbolic and has divergence form. We also derive equations for the propagation of small amplitude waves in a motionless medium and analyze the dependence of the speed of sound on porosity.
Keywords: conservation laws, hyperbolic system, elastic porous medium.
Received: 27.01.2011
Bibliographic databases:
Document Type: Article
UDC: 534.18
Language: Russian
Citation: E. I. Romenskiǐ, “A thermodynamically consistent system of conservation laws for the flow of a compressible fluid in an elastic porous medium”, Sib. Zh. Ind. Mat., 14:4 (2011), 86–97
Citation in format AMSBIB
\Bibitem{Rom11}
\by E.~I.~Romenski{\v\i}
\paper A thermodynamically consistent system of conservation laws for the flow of a~compressible fluid in an elastic porous medium
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 4
\pages 86--97
\mathnet{http://mi.mathnet.ru/sjim700}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2954010}
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  • https://www.mathnet.ru/eng/sjim/v14/i4/p86
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский журнал индустриальной математики
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    Abstract page:383
    Full-text PDF :180
    References:61
    First page:4
     
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