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

Abstract 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 geometr...

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Bibliographic Details
Main Authors: Nora Müller, Wolfgang Bock
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:https://doi.org/10.1186/s13362-021-00103-w