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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 2, Pages 373–381 (Mi zvmmf46)  
This article is cited in 5 scientific papers (total in 5 papers)

Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows

A. A. Zlotnik

Department of Applied Mathematics, Russian State Social University, ul. V. Pika 4, Moscow, 129226, Russia
Full-text PDF (909 kB) Citations (5)
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Abstract: A recently proposed two-dimensional quasi-gasdynamic model of traffic flows is considered. Its Petrovskii parabolicity is analyzed, and the stability of small perturbations against a constant background is investigated. In a nonlinear setting, an energy equality is derived and an energy estimate of the solution is obtained.
Key words: models of traffic flows, quasi-gasdynamic system of equations, second-order parabolic systems, stability of small perturbations, energy equality.
Received: 23.05.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 2, Pages 363–372
DOI: https://doi.org/10.1134/S0965542509020146
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Zlotnik, “Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 373–381; Comput. Math. Math. Phys., 49:2 (2009), 363–372
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:62
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