Geodesic
A two-dimensional model of traffic flows
Matematičeskoe modelirovanie, Tome 18 (2006) no. 6, pp. 85-95

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The problem of modeling vehicular traffic flows on city roads and at freeways is considered. A brief review of existing conceptions and models is given. An original two-dimensional model of congestion traffic flows is developed basing on the continuum approach and analogy with the quasi gas dynamic system of equations. The model is verified by test problems. 
@article{MM_2006_18_6_a6,
     author = {Yu. N. Karamzin and M. A. Trapeznikova and B. N. Chetverushkin and N. G. Churbanova},
     title = {A two-dimensional model of traffic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {85--95},
     publisher = {mathdoc},
     volume = {18},
     number = {6},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_6_a6/}
}
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Yu. N. Karamzin; M. A. Trapeznikova; B. N. Chetverushkin; N. G. Churbanova. A two-dimensional model of traffic flows. Matematičeskoe modelirovanie, Tome 18 (2006) no. 6, pp. 85-95. http://geodesic.mathdoc.fr/item/MM_2006_18_6_a6/