Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik YuUrGU. Ser. Mat. Model. Progr.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2013, Volume 6, Issue 1, Pages 72–84 (Mi vyuru34)  

Mathematical Modelling

The New Hyperbolic Models of Heterogeneous Environments

V. S. Surov, I. V. Berezansky

South Ural State University, Chelyabinsk, Russian Federation
References:
Abstract: Invention mathematically and physically correct models multiphase environment is an important problem, since many of the available models of heterogeneous environment are not such. In this paper, for multi-component environment offers two new models - single- and multi-velocity approximations. The models are based on the laws of conservation. Viscous and heat-conducting properties of the mixture are considered. For the described models is constructed automodels solution kind of traveling wave. On the example of a binary mixture have done of calculations for single- and multi-velocity approximations. It is shown that, if the use of the relaxation of the laws for the dissipative processes then the system of equations are hyperbolic.
Keywords: multicomponent viscous heat-conducting mixture, singlevelocity and multivelocity multicomponent medium, hyperbolic systems of partial differential equations, automodel solutions.
Received: 21.11.2012
Document Type: Article
UDC: 532.529.5
MSC: 35Q35
Language: Russian
Citation: V. S. Surov, I. V. Berezansky, “The New Hyperbolic Models of Heterogeneous Environments”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:1 (2013), 72–84
Citation in format AMSBIB
\Bibitem{SurBer13}
\by V.~S.~Surov, I.~V.~Berezansky
\paper The New Hyperbolic Models of Heterogeneous Environments
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2013
\vol 6
\issue 1
\pages 72--84
\mathnet{http://mi.mathnet.ru/vyuru34}
Linking options:
  • https://www.mathnet.ru/eng/vyuru34
  • https://www.mathnet.ru/eng/vyuru/v6/i1/p72
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:184
    Full-text PDF :103
    References:44
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024