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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1278–1285
DOI: https://doi.org/10.33048/semi.2021.18.097 (Mi semr1438) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media

D. A. Prokudinab

a Lavrentyev Institute of Hydrodynamics SB RAS, 15, Lavrent'eva ave., 630090, Novosibirsk, Russia
b Laboratory for Mathematical and Computer Modeling in Natural and Industrial Systems, Faculty of Mathematics & Information Technologies, Altai State University, 61, Lenina ave., Barnaul, 656049, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.097
Abstract: An initial-boundary value problem for one-dimensional equations of the dynamics of viscous compressible multicomponent media is considered, and the viscosity matrix is not assumed to be diagonal. The stabilization of the solution to the initial-boundary value problem with an unlimited increase of time is proved.
Keywords: compressible viscous medium, multicomponent flows, stabilization of solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZMW-2020-0008
Received October 8, 2021, published November 18, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35B40
Language: Russian
Citation: D. A. Prokudin, “On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1278–1285
Citation in format AMSBIB
\Bibitem{Pro21}
\by D.~A.~Prokudin
\paper On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1278--1285
\mathnet{http://mi.mathnet.ru/semr1438}
\crossref{https://doi.org/10.33048/semi.2021.18.097}
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