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Matematicheskoe modelirovanie, 2010, Volume 22, Number 4, Pages 110–117 (Mi mm2962)  

This article is cited in 1 scientific paper (total in 1 paper)

On stability of small perturbations for a modified two-dimensional quasi-gasdynamic model of traffic flows

A. A. Zlotnikab

a Moscow Power Engineering Institute (Technical University), Department of Mathematical Modelling, Moscow
b Russian State Social University, Department of Applied Mathematics, Moscow
Full-text PDF (201 kB) Citations (1)
References:
Abstract: A new modified two-dimensional quasi-gasdynamic model of traffic flows is studied. Both sufficient and necessary conditions are derived for stability of perturbations harmonic in space with respect to a constant background in linearized statement.
Keywords: quasi-gasdynamic model, traffic flows.
Received: 04.06.2009
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 6, Pages 776–781
DOI: https://doi.org/10.1134/S2070048210060128
Bibliographic databases:
Document Type: Article
UDC: 517.958+533.7
Language: Russian
Citation: A. A. Zlotnik, “On stability of small perturbations for a modified two-dimensional quasi-gasdynamic model of traffic flows”, Matem. Mod., 22:4 (2010), 110–117; Math. Models Comput. Simul., 2:6 (2010), 776–781
Citation in format AMSBIB
\Bibitem{Zlo10}
\by A.~A.~Zlotnik
\paper On stability of small perturbations for a~modified two-dimensional quasi-gasdynamic model of traffic flows
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 4
\pages 110--117
\mathnet{http://mi.mathnet.ru/mm2962}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2731166}
\zmath{https://zbmath.org/?q=an:05765119}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 6
\pages 776--781
\crossref{https://doi.org/10.1134/S2070048210060128}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929091961}
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  • https://www.mathnet.ru/eng/mm/v22/i4/p110
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:443
    Full-text PDF :121
    References:73
    First page:6
     
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