This article is cited in 1 paper

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

A. A. Zlotnik<sup>ab

a</sup> Moscow Power Engineering Institute (Technical University), Department of Mathematical Modelling, Moscow
^b Russian State Social University, Department of Applied Mathematics, Moscow

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.

UDC: 517.958+533.7

Received: 04.06.2009

 English version: Mathematical Models and Computer Simulations, 2010, 2:6, 776–781

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