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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 931–950
DOI: https://doi.org/10.33048/semi.2021.18.071 (Mi semr1412) 		 
Differentical equations, dynamical systems and optimal control

Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids

A. E. Mamontovab, D. A. Prokudinab

a Lavrentyev Institute of Hydrodynamics SB RAS, 15, Lavrent'eva ave., 630090, Novosibirsk, Russia
b Laboratory for Mathematical and Computer Modeling, 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.2021.18.071
Abstract: The problem of one-dimensional unsteady motion of a heat-conducting viscous compressible multifluid (mixture of perfect gases) on a bounded interval is considered, and the viscosity matrix is not assumed to be diagonal. The first step is made in proving the solvability of this problem: the local solvability of the approximate problem (for the Galerkin approximations) is shown.
Keywords: multicomponent viscous perfect gas, existence theorem, Galerkin method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZMW-2020-0008
Received July 15, 2021, published September 6, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 931–950
Citation in format AMSBIB
\Bibitem{MamPro21}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 931--950
\mathnet{http://mi.mathnet.ru/semr1412}
\crossref{https://doi.org/10.33048/semi.2021.18.071}
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