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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 959–971
DOI: https://doi.org/10.33048/semi.2022.19.080
(Mi semr1553)
 

Differentical equations, dynamical systems and optimal control

Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media

A. E. Mamontovab, D. A. Prokudincb

a Laboratory for Mathematical and Computer Modeling, in Natural and Industrial Systems, Faculty of Mathematics & Information Technologies, Federal State Institution of Higher Education «Altai State University», pr. Lenina 61, 656049 Barnaul, Russia
b Federal State Institution of Higher Education «Siberian State University of Telecommunications and Information Science» st. Kirova, 86, 630102 Novosibirsk, Russia
c Lavrentyev Institute of Hydrodynamics SB RAS, pr. Lavrent'eva, 15, 630090 Novosibirsk, Russia
References:
Abstract: The problem of steady barotropic motion of a multicomponent medium consisting of viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The solvability of the problem is proved. Viscosity matrices are assumed to be arbitrary (non-diagonal).
Keywords: existence theorem, steady barotropic flow, viscous compressible multifluid, viscosity matrix.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZMW-2020-0008
Received November 17, 2022, published December 10, 2022
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 959–971
Citation in format AMSBIB
\Bibitem{MamPro22}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 959--971
\mathnet{http://mi.mathnet.ru/semr1553}
\crossref{https://doi.org/10.33048/semi.2022.19.080}
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