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
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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.
@article{ZVMMF_2009_49_2_a13,
author = {A. A. Zlotnik},
title = {Some properties of the equations governing a~two-dimensional quasi-gasdynamic model of traffic flows},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {373--381},
publisher = {mathdoc},
volume = {49},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a13/}
}
TY - JOUR AU - A. A. Zlotnik TI - Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 373 EP - 381 VL - 49 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a13/ LA - ru ID - ZVMMF_2009_49_2_a13 ER -
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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/