Geodesic
Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 2, pp. 373-381 
A. A. Zlotnik. Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 2, pp. 373-381. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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