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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 4, Pages 192–205 (Mi pmtf1939)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere

S. N. Antontseva, Kh. I. Diasb

a Universidade de Lisboa, Lisboa, Portugal, 1649-003
b Universidad Complutense de Madrid, Madrid, Spain, 28040
Full-text PDF (271 kB) Citations (3)
Abstract: We study the boundary-layer approximation of the classical mathematical model that describes the discharge of a laminar hot gas in a stagnant colder atmosphere of the same gas. We prove the existence and uniqueness of solutions to a nondegenerate problem (without zones of stagnation of gas temperature or velocity). The asymptotic behavior of these solutions is also studied.
Keywords: systems of nonlinear degenerate parabolic equations, diffusion coupling, temperature gas jets, asymptotic behavior.
Received: 30.07.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 4, Pages 681–692
DOI: https://doi.org/10.1007/s10808-008-0085-4
Bibliographic databases:
Document Type: Article
UDC: 517.956.4+517.958:531.3-1
Language: Russian
Citation: S. N. Antontsev, Kh. I. Dias, “Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 192–205; J. Appl. Mech. Tech. Phys., 49:4 (2008), 681–692
Citation in format AMSBIB
\Bibitem{AntDia08}
\by S.~N.~Antontsev, Kh.~I.~Dias
\paper Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 4
\pages 192--205
\mathnet{http://mi.mathnet.ru/pmtf1939}
\elib{https://elibrary.ru/item.asp?id=11784362}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 4
\pages 681--692
\crossref{https://doi.org/10.1007/s10808-008-0085-4}
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  • https://www.mathnet.ru/eng/pmtf/v49/i4/p192
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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