Prikladnaya Mekhanika i Tekhnicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Prikl. Mekh. Tekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1939
  • https://www.mathnet.ru/eng/pmtf/v49/i4/p192
    • This publication is cited in the following 3 articles:
    1. S. N. ANTONTSEV, J. I. DÍAZ, “NEW L1-GRADIENT TYPE ESTIMATES OF SOLUTIONS TO ONE-DIMENSIONAL QUASILINEAR PARABOLIC SYSTEMS”, Commun. Contemp. Math., 12:01 (2010), 85  crossref
    2. S. Antontsev, J. I. Díaz, “On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems”, Rev. R. Acad. Cien. Serie A. Mat., 103:1 (2009), 201  crossref
    3. S. N. Antontsev, Kh. I. Dias, “Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere”, J. Appl. Mech. Tech. Phys., 49:4 (2008), 681–692  mathnet  mathnet  crossref
    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
    Statistics & downloads:
    Abstract page:57
    Full-text PDF :20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025