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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 406–415
DOI: https://doi.org/10.33048/semi.2020.17.026 (Mi semr1220) 		 
Differentical equations, dynamical systems and optimal control

Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid

A. E. Mamontovab, D. A. Prokudinab

a Lavrentyev Institute of Hydrodynamics, 15, Lavrent'eva ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.026
Abstract: We study an initial-boundary value problem which describes unsteady motions of a viscous compressible two-component fluid. We formulate an approximate problem via the Galerkin method, and prove its solvability.
Keywords: Galerkin approximations, non-stationary boundary value problem, one-dimensional flow, viscous compressible fluid, homogeneous multi-velocity multifluid.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00034
The reported study was funded by Russian Foundation for Basic Research according to the research project N 18–31–00034.
Received December 2, 2019, published March 17, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: English
Citation: A. E. Mamontov, D. A. Prokudin, “Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid”, Sib. Èlektron. Mat. Izv., 17 (2020), 406–415
Citation in format AMSBIB
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\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 406--415
\mathnet{http://mi.mathnet.ru/semr1220}
\crossref{https://doi.org/10.33048/semi.2020.17.026}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000522391800001}
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