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.
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