论文标题
在交通流模型中恒定状态的扰动的定位
Localisation of perturbations of a constant state in a traffic flow model
论文作者
论文摘要
在AW-Rascle-Zhang交通流模型中，我们考虑了恒定流量的渐近稳定性问题。通过使用扰动方法，我们显示出比以前的结果更大的扰动空间的稳定性。此外，我们能够根据最初的扰动定位来计算扰动主要在给定时间内定位在空间中的位置。这些新想法可以应用于其他各种双曲线保护定律，并放松。
We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larger space of perturbation than previous results. Furthermore, we are able to compute where the perturbation is mainly localised in space for a given time, based on the localisation of the perturbation initially. These new ideas can be applied to various other models of hyperbolic conservation laws with relaxations.
