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.

中文翻译：

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随机特征法对Lighthill-Whitham-Richards模型的随机扰动

在本文中，我们将随机特征方法应用于Lighthill-Whitham-Richards模型。随机扰动可以看作是交通密度测量中的误差。对于具体示例，我们求解受标准布朗运动和无漂移几何布朗运动干扰的方程。