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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 631–649
DOI: https://doi.org/10.17377/semi.2018.15.050
(Mi semr941)
 

This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids

A. E. Mamontova, D. A. Prokudinab

a Lavrentyev Institute of Hydrodynamics, pr. Lavrent'eva, 15, 630090, Novosibirsk, Russia
b Voronezh State University, University Square, 1, 394018, Voronezh, Russia
Full-text PDF (187 kB) Citations (2)
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Abstract: We consider the initial-boundary value problem governing unsteady polytropic motions of viscous compressible multifluids. We prove the existence and uniqueness of a strong solution to the problem.
Keywords: multifluid, mixture of fluids, viscous compressible fluid, existence, uniqueness, initial-boundary value problem, unsteady motion.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0037
The research was supported by the Ministry of Education and Science of the Russian Federation (grant 14.Z50.31.0037).
Received March 26, 2018, published May 24, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: English
Citation: A. E. Mamontov, D. A. Prokudin, “Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids”, Sib. Èlektron. Mat. Izv., 15 (2018), 631–649
Citation in format AMSBIB
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\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 631--649
\mathnet{http://mi.mathnet.ru/semr941}
\crossref{https://doi.org/10.17377/semi.2018.15.050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000438412200050}
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  • https://www.mathnet.ru/eng/semr/v15/p631
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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