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