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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 13–16
DOI: https://doi.org/10.31857/S2686954320060053 (Mi danma127) 		 
This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems

V. B. Betelina, V. A. Galkinb, A. O. Dubovikb

a Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russian Federation
b Surgut Branch of Federal State Institution "Scientific Research Institute for System Analysis of the Russian Academy of Sciences", Surgut, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320060053
Abstract: Classes of exact solutions corresponding to vortex and potential flows are presented within the framework of a hydrodynamic model describing flows of a viscous incompressible fluid. The study of exact solutions is a prerequisite for creating a core simulator, which is associated with modeling fluid dynamics in a porous medium and the response of the field to dynamic influences in order to increase oil recovery.
Keywords: hydrodynamics, exact solutions, variable domain, oil and gas industry.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0065-2019-0019
This work was performed within the state assignment of the Scientific Research Institute for System Analysis of the Russian Academy of Sciences, subject no. 0065-2019-0019.
Received: 15.09.2020
Revised: 15.09.2020
Accepted: 21.09.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 456–459
DOI: https://doi.org/10.1134/S1064562420060071
Bibliographic databases:
Document Type: Article
UDC: 517.9+532
Language: Russian
Citation: V. B. Betelin, V. A. Galkin, A. O. Dubovik, “Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 13–16; Dokl. Math., 102:3 (2020), 456–459
Citation in format AMSBIB
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\paper Exact solutions of incompressible Navier--Stokes equations in the case of oil and gas industrial problems
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 13--16
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\zmath{https://zbmath.org/?q=an:1481.76205}
\elib{https://elibrary.ru/item.asp?id=44367193}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 456--459
\crossref{https://doi.org/10.1134/S1064562420060071}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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