基于随机特征的lighhill - whitham - richards模型的随机扰动

IF 1.2 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics in Industry Pub Date : 2021-05-07 DOI:10.1186/s13362-021-00103-w

Nora Müller, Wolfgang Bock

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引用次数: 0

摘要

本文将随机特征方法应用于lighhill - whitham - richards模型。随机扰动可以看作是交通密度测量中的误差。对于具体的例子，我们求解了标准布朗运动和无漂移的几何布朗运动的摄动方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stochastic perturbation of the Lighthill–Whitham–Richards model via the method of stochastic characteristics

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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来源期刊

Journal of Mathematics in Industry MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

5.00

自引率

0.00%

发文量

审稿时长

13 weeks