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Izvestiya: Mathematics, 2014, Volume 78, Issue 3, Pages 554–579
DOI: https://doi.org/10.1070/IM2014v078n03ABEH002698 (Mi im8109) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids

A. E. Mamontova, D. A. Prokudinb

a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Kemerovo State University
English version PDF (418 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM2014v078n03ABEH002698
Abstract: We consider a boundary-value problem describing the stationary motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of phase temperatures (which is physically justified in certain situations), that is, we retain all summands in equations that are a natural generalization of the Navier–Stokes–Fourier model of the motion of a one-component medium. We prove the existence of weak generalized solutions of the problem.
Keywords: existence theorem, stationary boundary-value problem, viscous compressible heat-conducting fluid, homogeneous two-speed mixture, effective viscous flow.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00529
Siberian Branch of Russian Academy of Sciences 30
Received: 26.02.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 3, Pages 135–160
DOI: https://doi.org/10.4213/im8109
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 76E19; Secondary 35Q30, 76D05
Language: English
Original paper language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids”, Izv. RAN. Ser. Mat., 78:3 (2014), 135–160; Izv. Math., 78:3 (2014), 554–579
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2014v078n03ABEH002698
  • https://www.mathnet.ru/eng/im/v78/i3/p135
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:657
    Russian version PDF:255
    English version PDF:9
    References:79
    First page:59
     
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