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Izvestiya: Mathematics, 2021, Volume 85, Issue 4, Pages 755–812
DOI: https://doi.org/10.1070/IM9019
(Mi im9019)
 

This article is cited in 14 scientific papers (total in 14 papers)

Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids

A. E. Mamontovab, D. A. Prokudinc

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.
Keywords: global existence theorem, unsteady boundary-value problem, viscous compressible heat-conducting fluid, homogeneous mixture with multiple velocities, multidimensional flow.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
This paper was written with the support of the Mathematical Centre in Akademgorodok, contract no. 075-15-2019-1613 with the Ministry of science and higher education of the Russian Federation.
Received: 07.02.2020
Revised: 27.08.2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Original paper language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids”, Izv. Math., 85:4 (2021), 755–812
Citation in format AMSBIB
\Bibitem{MamPro21}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Solubility of unsteady equations of the three-dimensional motion of two-component
viscous compressible heat-conducting fluids
\jour Izv. Math.
\yr 2021
\vol 85
\issue 4
\pages 755--812
\mathnet{http://mi.mathnet.ru//eng/im9019}
\crossref{https://doi.org/10.1070/IM9019}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..755M}
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Linking options:
  • https://www.mathnet.ru/eng/im9019
  • https://doi.org/10.1070/IM9019
  • https://www.mathnet.ru/eng/im/v85/i4/p147
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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