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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 3, Pages 52–65 (Mi sjim567)  
This article is cited in 6 scientific papers (total in 6 papers)

Stationary Solutions to the Equations of a Mixture of Compressible Viscous Fluids

N. A. Kucher, D. A. Prokudin

Kemerovo State University, Kemerovo
Full-text PDF (280 kB) Citations (6)
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Abstract: The existence of renormalized solutions is proved of the first boundary value problem for the equations of stationary motion of a two-component mixture of compressible viscous fluids for all values of the adiabatic exponent in (3,+∞).
Keywords: boundary value problem, mixture dynamics, solution to Navier–Stokes equations.
Received: 06.02.2009
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. A. Kucher, D. A. Prokudin, “Stationary Solutions to the Equations of a Mixture of Compressible Viscous Fluids”, Sib. Zh. Ind. Mat., 12:3 (2009), 52–65
Citation in format AMSBIB
\Bibitem{KucPro09}
\by N.~A.~Kucher, D.~A.~Prokudin
\paper Stationary Solutions to the Equations of a~Mixture of Compressible Viscous Fluids
\jour Sib. Zh. Ind. Mat.
\yr 2009
\vol 12
\issue 3
\pages 52--65
\mathnet{http://mi.mathnet.ru/sjim567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668146}
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  • https://www.mathnet.ru/eng/sjim567
  • https://www.mathnet.ru/eng/sjim/v12/i3/p52
    • This publication is cited in the following 6 articles:
    1. N. A. Kucher, A. A. Zhalnina, O. V. Malyshenko, “O suschestvovanii silnykh reshenii regulyarizovannykh uravnenii smesi vyazkikh szhimaemykh zhidkostei”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2020, no. 64, 31–47  mathnet  crossref
    2. D. A. Prokudin, “Ob odnoznachnoi razreshimosti nachalno–kraevoi zadachi dlya modelnoi sistemy uravnenii politropnogo dvizheniya smesi vyazkikh szhimaemykh zhidkostei”, Sib. elektron. matem. izv., 14 (2017), 568–585  mathnet  crossref
    3. Kucher N.A., Zhalnina A.A., “On the Existence of Global Solutions to Equations For Mixtures of Compressible Viscous Fluids”: A. Chesnokov, E. Pruuel, V. Shelukhin, All-Russian Conference With International Participation Modern Problems of Continuum Mechanics and Explosion Physics Dedicated to the 60th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS, Journal of Physics Conference Series, 894, IOP Publishing Ltd, 2017, UNSP 012048  crossref  isi  scopus
    4. A. E. Mamontov, D. A. Prokudin, “Local solvability of the initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids”, J. Math. Sci., 231:2 (2018), 227–242  mathnet  crossref  crossref
    5. N. A. Kucher, A. E. Mamontov, D. A. Prokudin, “Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids”, Siberian Math. J., 53:6 (2012), 1075–1088  mathnet  crossref  mathscinet  isi  elib  elib
    6. Kucher N.A., Prokudin D.A., “Analiz razreshimosti kraevoi zadachi dlya uravnenii smesei vyazkikh szhimaemykh zhidkostei”, Vestnik Kemerovskogo gosudarstvennogo universiteta, 2011, no. 1, 32–38  elib
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