论文标题

通过随机特征的方法,Lighthill-Whitham-Richards模型的随机扰动

Stochastic Perturbation of the Lighthill-Whitham-Richards Model via the Method of Stochastic Characteristics

论文作者

Müller, Nora, Bock, Wolfgang

论文摘要

在本文中,我们将随机特征的方法应用于Lighthill-Whitham-Richards模型。随机扰动可以看作是交通密度测量的错误。对于具体的示例,我们通过标准的布朗运动和几何布朗运动没有漂移来解决扰动的方程。

In this paper we apply the method of stochastic characteristics to a Lighthill-Whitham-Richards model. The stochastic perturbation can be seen as errors in measurement of the traffic density. For concrete examples we solve the equation perturbed by a standard Brownian motion and the geometric Brownian motion without drift.

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