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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 3, Pages 55–67
DOI: https://doi.org/10.17377/sibjim.2016.19.305 (Mi sjim928) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Solvability of a steady boundary value problem for a model system of equations of a barotropic motion of a mixture of viscous compressible fluids

D. A. Prokudina, M. V. Krayushkinab

a Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk
b Kemerovo State University, 6 Krasnaya str., 650043 Kemerovo
Full-text PDF (262 kB) Citations (16)
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DOI: https://doi.org/10.17377/sibjim.2016.19.305
Abstract: We consider a boundary value problem for a model system of equations describing a steady barotropic motion of a homogeneous mixture of viscous compressible fluids in a bounded three-dimensional domain. An existence theorem is proved for weak solutions to the problem without constraints on the structure of the total viscosity matrix except the standard requirements of positive definiteness.
Keywords: existence theorem, steady boundary value problem, viscous compressible fluid, homogeneous mixture with two velocities, effective viscous flux.
Funding agency Grant number
Russian Science Foundation 15-11-20019
Received: 20.07.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 3, Pages 417–428
DOI: https://doi.org/10.1134/S1990478916030121
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. A. Prokudin, M. V. Krayushkina, “Solvability of a steady boundary value problem for a model system of equations of a barotropic motion of a mixture of viscous compressible fluids”, Sib. Zh. Ind. Mat., 19:3 (2016), 55–67; J. Appl. Industr. Math., 10:3 (2016), 417–428
Citation in format AMSBIB
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\by D.~A.~Prokudin, M.~V.~Krayushkina
\paper Solvability of a~steady boundary value problem for a~model system of equations of a~barotropic motion of a~mixture of viscous compressible fluids
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 3
\pages 55--67
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\crossref{https://doi.org/10.17377/sibjim.2016.19.305}
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\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 3
\pages 417--428
\crossref{https://doi.org/10.1134/S1990478916030121}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983504758}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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