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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1490–1498
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.092 (Mi semr1655) 		 
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. Prokudinab

a Lavrentyev Institute of Hydrodynamics SB RAS, pr. Lavrent'eva, 15, 630090 Novosibirsk, Russia
b Chair of Further Mathematics, Federal State Institution of Higher Education «Siberian State University of Telecommunications and Information Science» st. Kirova, 86, 630102 Novosibirsk, Russia
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DOI: https://doi.org/doi.org/10.33048/semi.2023.20.092
Abstract: The asymptotic behavior (as $t\rightarrow +\infty$) of the solution to the initial-boundary value problem is analyzed for the system of differential equations describing the barotropic dynamics of a viscous  multifluid with a non-diagonal, symmetric and positive definite viscosity matrix, in the case of one spatial variable. New a priori estimates are obtained and stabilization of the solution to the initial-boundary value problem is proved.
Keywords: barotropic flow, viscous compressible multifluid, viscosity matrix, stabilization of solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-1799
Received November 7, 2023, published December 22, 2023
Document Type: Article
UDC: 517.95
MSC: 35B40
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., 20:2 (2023), 1490–1498
Citation in format AMSBIB
\Bibitem{MamPro23}
\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 2023
\vol 20
\issue 2
\pages 1490--1498
\mathnet{http://mi.mathnet.ru/semr1655}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.092}
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