Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1168–1181 (Mi smj1358)  

This article is cited in 7 scientific papers (total in 7 papers)

Irregular partially invariant solutions of rank 2 and defect 1 to equations of gas dynamics

S. V. Khabirov

Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (205 kB) Citations (7)
Abstract: We consider three-dimensional subalgebras admitted by the equations of gas dynamics having time as an invariant and containing no rotation operator. For such subalgebras we seek for irregular partially invariant solutions of rank 2 and defect 1. The representation for solutions has the form which generalizes motion of a gas with a linear velocity field. We show that partially invariant solutions exist for each subalgebra. We describe the set of these solutions. We find solutions with the indicated representation that are not partially invariant. The solutions reducible to invariant solutions are generalized to new submodels.
Keywords: partially invariant solution, gas dynamics.
Received: 26.04.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 942–954
DOI: https://doi.org/10.1023/A:1020119210353
Bibliographic databases:
UDC: 533:517.958
Language: Russian
Citation: S. V. Khabirov, “Irregular partially invariant solutions of rank 2 and defect 1 to equations of gas dynamics”, Sibirsk. Mat. Zh., 43:5 (2002), 1168–1181; Siberian Math. J., 43:5 (2002), 942–954
Citation in format AMSBIB
\Bibitem{Kha02}
\by S.~V.~Khabirov
\paper Irregular partially invariant solutions of rank~2 and defect~1 to equations of gas dynamics
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1168--1181
\mathnet{http://mi.mathnet.ru/smj1358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946272}
\zmath{https://zbmath.org/?q=an:1017.76076}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 942--954
\crossref{https://doi.org/10.1023/A:1020119210353}
Linking options:
  • https://www.mathnet.ru/eng/smj1358
  • https://www.mathnet.ru/eng/smj/v43/i5/p1168
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:210
    Full-text PDF :103
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024