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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 1, Pages 32–47
DOI: https://doi.org/10.33048/SIBJIM.2021.24.103 (Mi sjim1118) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids

A. E. Mamontov, D. A. Prokudin

Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.103
Abstract: We consider the equations of a multivelocity model of a binary mixture of viscous compressible fluids (the two-fluid medium) in the case of one-dimensional barotropic motions. We prove the time global existence and uniqueness of a strong solution to the initial-boundary value problem describing the motion in a bounded space domain.
Keywords: viscous compressible fluid, binary mixture, multivelocity multifluid, initial-boundary value problem, global existence, uniqueness, strong solution. .
Funding agency Grant number
Russian Science Foundation 19-11-00069
The authors were supported by the Russian Science Foundation (project no. 19-11-00069).
Received: 11.11.2020
Revised: 11.11.2020
Accepted: 28.12.2020
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 1, Pages 50–61
DOI: https://doi.org/10.1134/S1990478921010051
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids”, Sib. Zh. Ind. Mat., 24:1 (2021), 32–47; J. Appl. Industr. Math., 15:1 (2021), 50–61
Citation in format AMSBIB
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\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 1
\pages 32--47
\mathnet{http://mi.mathnet.ru/sjim1118}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.103}
\elib{https://elibrary.ru/item.asp?id=46056949}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 1
\pages 50--61
\crossref{https://doi.org/10.1134/S1990478921010051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104634304}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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